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CONNES EMBEDDING-PROBLEM

  • Connes embedding problem
  • Mathematical problem in von Neumann algebra theory

    Connes' embedding problem, formulated by Alain Connes in the 1970s, is a major problem in von Neumann algebra theory. During that time, the problem was

    Connes embedding problem

    Connes_embedding_problem

  • Alain Connes
  • French mathematician (born 1947)

    formulated the Connes embedding problem. Following this, he made contributions in operator K-theory and index theory, which culminated in the Baum–Connes conjecture

    Alain Connes

    Alain Connes

    Alain_Connes

  • List of unsolved problems in mathematics
  • f} be the d {\displaystyle d} -th power of a linear polynomial? Connes embedding problem in Von Neumann algebra theory Crouzeix's conjecture: the matrix

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • Tsirelson's bound
  • Theoretical upper limit to non-local correlations in quantum mechanics

    thus solving Tsirelson's problem in the negative. Tsirelson's problem has been shown to be equivalent to Connes' embedding problem, so the same proof also

    Tsirelson's bound

    Tsirelson's_bound

  • RE (complexity)
  • Complexity class

    proof implies that the Connes embedding problem and Tsirelson's problem are false. RE-complete is the set of decision problems that are complete for RE

    RE (complexity)

    RE_(complexity)

  • Quantum nonlocality
  • Deviations from local realism

    Q_{c}} , thus solving Tsirelson's problem. Tsirelson's problem can be shown equivalent to Connes embedding problem, a famous conjecture in the theory

    Quantum nonlocality

    Quantum_nonlocality

  • Atiyah–Singer index theorem
  • Mathematical result in differential geometry

    degree two. 1990: Connes and Henri Moscovici prove the local index formula in the context of non-commutative geometry. 1994: Connes, Sullivan, and Teleman

    Atiyah–Singer index theorem

    Atiyah–Singer_index_theorem

  • Geometric group theory
  • Area in mathematics devoted to the study of finitely generated groups

    2307/121011. JSTOR 121011. G. Yu. The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space. Inventiones Mathematicae

    Geometric group theory

    Geometric group theory

    Geometric_group_theory

  • Field with one element
  • Theoretical object in mathematics

    Vaquié (2005). Vezzani (2010) Durov (2008). Borger (2009). Connes & Consani (2010). Connes, Consani & Marcolli (2009) Kalai, Gil (10 January 2018), "Subhash

    Field with one element

    Field_with_one_element

  • Scalar curvature
  • Measure of curvature in differential geometry

    the K-theory of C*-algebras. This in turn is a special case of the Baum–Connes conjecture for the fundamental group. In the special case of four-dimensional

    Scalar curvature

    Scalar_curvature

  • Kazhdan's property (T)
  • Mathematics term

    quantifying property (T) for a particular group and a generating set. Alain Connes used discrete groups with property (T) to find examples of type II1 factors

    Kazhdan's property (T)

    Kazhdan's_property_(T)

  • Approximately finite-dimensional C*-algebra
  • C*-algebra

    Neumann algebra world are the hyperfinite factors, which were classified by Connes and Haagerup. In the context of noncommutative geometry and topology, AF

    Approximately finite-dimensional C*-algebra

    Approximately_finite-dimensional_C*-algebra

  • Cyclic order
  • Alternative mathematical ordering

    repeating an element: p ↪ r ↪ q ↪ p. ^embeddingNovák (1984, p. 332) calls an embedding an "isomorphic embedding". ^rollIn this case, Giraudet & Holland

    Cyclic order

    Cyclic order

    Cyclic_order

  • Duality (mathematics)
  • General concept and operation in mathematics

    dimension-reversing involution: each vertex in the primal embedded graph corresponds to a region of the dual embedding, each edge in the primal is crossed by an edge

    Duality (mathematics)

    Duality_(mathematics)

  • Michael Atiyah
  • British-Lebanese mathematician (1929–2019)

    mathematicians who influenced Atiyah include Roger Penrose, Lars Hörmander, Alain Connes and Jean-Michel Bismut. Atiyah said that the mathematician he most admired

    Michael Atiyah

    Michael Atiyah

    Michael_Atiyah

  • Glossary of algebraic geometry
  • multiplication being the tensor product. Plücker embedding The Plücker embedding is the closed embedding of the Grassmannian variety into a projective space

    Glossary of algebraic geometry

    Glossary_of_algebraic_geometry

  • Email
  • Mail sent using electronic means

    2016-01-01 at the Wayback Machine, Susan R. Harris, Ph.D., and Elise Gerich, ConneXions, Vol. 10, No. 4, April 1996 Leiner, Barry M.; Cerf, Vinton G.; Clark

    Email

    Email

    Email

  • Mikhael Gromov (mathematician)
  • Russian-French mathematician

    way scientific ideas evolve. Motivated by Nash and Kuiper's isometric embedding theorems and the results on immersions by Morris Hirsch and Stephen Smale

    Mikhael Gromov (mathematician)

    Mikhael Gromov (mathematician)

    Mikhael_Gromov_(mathematician)

  • Spectral sequence
  • Tool in homological algebra

    rings spectral sequences for calculating Tor and Ext groups of modules. Connes spectral sequences converging to the cyclic homology of an algebra. Gersten–Witt

    Spectral sequence

    Spectral_sequence

  • Animism
  • Class of religious beliefs

    understanding of animal behavior that occurred at a powwow held by the Conne River Mi'kmaq in 1996; an eagle flew over the proceedings, circling over

    Animism

    Animism

  • History of the Internet
  • 2016, at the Wayback Machine, Susan R. Harris, PhD, and Elise Gerich, ConneXions, Vol. 10, No. 4, April 1996 "Walt's Internet History | Walt's World"

    History of the Internet

    History of the Internet

    History_of_the_Internet

  • Internet
  • Global system of connected computer networks

    "Retiring the NSFNET Backbone Service: Chronicling the End of an Era". ConneXions. 10 (4). Archived from the original on 17 August 2013. Jindal, R. P

    Internet

    Internet

    Internet

  • Scheme (mathematics)
  • Generalization of algebraic variety

    MR 3082873 Cartier, Pierre (2001), "A mad day's work: from Grothendieck to Connes and Kontsevich. The evolution of concepts of space and symmetry", Bulletin

    Scheme (mathematics)

    Scheme_(mathematics)

  • Pontryagin duality
  • Duality for locally compact abelian groups

    Algebras and Duality of Locally Compact Groups. With a preface by Alain Connes. With a postface by Adrian Ocneanu. Berlin: Springer-Verlag. doi:10.1007/978-3-662-02813-1

    Pontryagin duality

    Pontryagin duality

    Pontryagin_duality

  • List of Italian inventions and discoveries
  • Rovelli and French mathematician Alain Connes put forward the thermal time hypothesis in order to solve the problem of time. Relational quantum mechanics:

    List of Italian inventions and discoveries

    List of Italian inventions and discoveries

    List_of_Italian_inventions_and_discoveries

  • Oscillator representation
  • Representation theory of the symplectic group

    theorem. This method of proving index theorems was generalised by Alain Connes within the framework of cyclic cohomology. The theory of the oscillator

    Oscillator representation

    Oscillator_representation

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CONNES EMBEDDING-PROBLEM

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CONNES EMBEDDING-PROBLEM

  • Joines
  • Surname or Lastname

    English

    Joines

    English : probably a variant of Jones. Compare Joynes.

    Joines

  • CONNOR
  • Male

    English

    CONNOR

    Anglicized form of Irish Conchobhar, CONNOR means "hound-lover."

    CONNOR

  • Ionnes
  • Boy/Male

    Hebrew

    Ionnes

    Gift from God.

    Ionnes

  • Canner
  • Surname or Lastname

    English

    Canner

    English : occupational name for a maker or seller of cans, from an agent derivative of Old English canne ‘can’.Respelling of Kanner.

    Canner

  • Conner
  • Boy/Male

    Irish American

    Conner

    Hound lover. Full of desire; much desire.

    Conner

  • Conner
  • Surname or Lastname

    Irish

    Conner

    Irish : variant spelling of Connor, now common in Scotland.English : occupational name for an inspector of weights and measures, Middle English connere, cunnere ‘inspector’, an agent derivative of cun(nen) ‘to examine’.

    Conner

  • CORNEL
  • Male

    Romanian

    CORNEL

    Romanian form of Greek Kornelios, CORNEL means "of a horn."

    CORNEL

  • CONNELL
  • Male

    English

    CONNELL

    Anglicized form of Irish Gaelic Conall, CONNELL means "hound of valor."

    CONNELL

  • CONNIE
  • Female

    English

    CONNIE

    Pet form of English/French Constance, CONNIE means "steadfast."

    CONNIE

  • CONLEY
  • Male

    English

    CONLEY

    Anglicized form of Irish Gaelic Conláed, CONLEY means "purifying fire."

    CONLEY

  • JÓHANNES
  • Male

    Icelandic

    JÓHANNES

    Icelandic form of Latin Johannes, JÓHANNES means "God is gracious."

    JÓHANNES

  • Conner
  • Boy/Male

    American, Christian, German, Indian

    Conner

    High Desire

    Conner

  • Corner
  • Surname or Lastname

    English

    Corner

    English : occupational name for a hornblower or worker in horn, from an agent derivative of Old French corne ‘horn’ (see Corne).English : metonymic occupational name for a maker of hand mills, from an agent derivative of Old English cweorn ‘hand mill’ (see Corn 3).English : topographic name for someone who lived on the corner of two streets or tracks, (Middle English corner, from Old French cornier ‘angle’, ‘corner’).Americanized spelling of German Körner (see Koerner) or Swiss Korner.

    Corner

  • Goynes
  • Surname or Lastname

    English

    Goynes

    English : unexplained. Compare Goyne, Goines.

    Goynes

  • Bonney
  • Surname or Lastname

    English (chiefly Lancashire)

    Bonney

    English (chiefly Lancashire) : nickname for a handsome person, especially a large or well-built one, from northern dialect bonnie ‘fine’, ‘beautiful’ (still in common use in northern England and Scotland).French : eastern variant of Bonnet 2.

    Bonney

  • Combes
  • Surname or Lastname

    English

    Combes

    English : variant of Coombs.French : habitational name from any of various places in southern France, for example in Hérault, named Combes, from Latin cumba ‘narrow valley’, ‘ravine’, a word of Gaulish origin.

    Combes

  • CONNER
  • Male

    English

    CONNER

    Variant spelling of English Connor, CONNER means "hound-lover."

    CONNER

  • IOANNES
  • Male

    Greek

    IOANNES

    (Ἰωάννης) Greek form of Hebrew Yowchanan, IOANNES means "God is gracious."

    IOANNES

  • CONNLA
  • Male

    Irish

    CONNLA

    Variant spelling of Irish Conlaoch, CONNLA means "hound warrior."

    CONNLA

  • Joynes
  • Surname or Lastname

    English

    Joynes

    English : probably a variant of Jones. Compare Joines.

    Joynes

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CONNES EMBEDDING-PROBLEM

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CONNES EMBEDDING-PROBLEM

  • Conger
  • n.

    The conger eel; -- called also congeree.

  • Embedding
  • p. pr. & vb. n.

    of Embed

  • Convey
  • v. t.

    To impart or communicate; as, to convey an impression; to convey information.

  • Plano-convex
  • a.

    Plane or flat on one side, and convex on the other; as, a plano-convex lens. See Convex, and Lens.

  • Connex
  • v. t.

    To connect.

  • Convex
  • n.

    A convex body or surface.

  • Corner
  • v. t.

    To get command of (a stock, commodity, etc.), so as to be able to put one's own price on it; as, to corner the shares of a railroad stock; to corner petroleum.

  • Connect
  • v. i.

    To join, unite, or cohere; to have a close relation; as, one line of railroad connects with another; one argument connect with another.

  • Convexo-convex
  • a.

    Convex on both sides; double convex. See under Convex, a.

  • By-corner
  • n.

    A private corner.

  • Cornet
  • n.

    A troop of cavalry; -- so called from its being accompanied by a cornet player.

  • Corner
  • v. t.

    To drive into a corner.

  • Convey
  • v. t.

    To cause to pass from one place or person to another; to serve as a medium in carrying (anything) from one place or person to another; to transmit; as, air conveys sound; words convey ideas.

  • Blue bonnet
  • n.

    Alt. of Blue-bonnet

  • Conner
  • n.

    A marine European fish (Crenilabrus melops); also, the related American cunner. See Cunner.

  • Corneas
  • pl.

    of Cornea

  • Contek
  • n.

    Quarrel; contention; contest.

  • Bonnet
  • n.

    Anything resembling a bonnet in shape or use

  • Bonnet
  • v. i.

    To take off the bonnet or cap as a mark of respect; to uncover.

  • Cornel
  • n.

    Any species of the genus Cornus, as C. florida, the flowering cornel; C. stolonifera, the osier cornel; C. Canadensis, the dwarf cornel, or bunchberry.