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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
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
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
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
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)
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
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
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
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)
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
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
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
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
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)
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
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
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
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)
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
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
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
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
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
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
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)
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
CONNES EMBEDDING-PROBLEM
CONNES EMBEDDING-PROBLEM
Female
English
Pet form of English/French Constance, CONNIE means "steadfast."
Male
English
Anglicized form of Irish Gaelic Conall, CONNELL means "hound of valor."
Male
Romanian
Romanian form of Greek Kornelios, CORNEL means "of a horn."
Boy/Male
Hebrew
Gift from God.
Surname or Lastname
English
English : unexplained. Compare Goyne, Goines.
Surname or Lastname
English
English : probably a variant of Jones. Compare Joines.
Male
English
Anglicized form of Irish Gaelic Conláed, CONLEY means "purifying fire."
Boy/Male
Irish American
Hound lover. Full of desire; much desire.
Boy/Male
American, Christian, German, Indian
High Desire
Male
English
Variant spelling of English Connor, CONNER means "hound-lover."
Male
English
Anglicized form of Irish Conchobhar, CONNOR means "hound-lover."
Surname or Lastname
English
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.
Male
Greek
(Ἰωάννης) Greek form of Hebrew Yowchanan, IOANNES means "God is gracious."
Male
Irish
Variant spelling of Irish Conlaoch, CONNLA means "hound warrior."
Surname or Lastname
Irish
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’.
Surname or Lastname
English
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.
Surname or Lastname
English
English : occupational name for a maker or seller of cans, from an agent derivative of Old English canne ‘can’.Respelling of Kanner.
Surname or Lastname
English
English : probably a variant of Jones. Compare Joynes.
Surname or Lastname
English (chiefly Lancashire)
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.
Male
Icelandic
Icelandic form of Latin Johannes, JÓHANNES means "God is gracious."
CONNES EMBEDDING-PROBLEM
CONNES EMBEDDING-PROBLEM
Boy/Male
American, Australian, British, Christian, English, French, Indian, Latin
Raven; Dark as a Raven; Black Hair
Girl/Female
Greek
Well-behaved.
Girl/Female
Hindu
Goddess Lakshmi, Foremost, Best, First, Night
Girl/Female
Indian, Sikh
Distributing Happiness
Boy/Male
Indian, Telugu
Lord Krishna
Surname or Lastname
North German and Frisian
North German and Frisian : patronymic from Hiller 3.English : variant of Hillhouse.
Girl/Female
Arabic, Muslim, Sindhi
Inseparable Friend
Boy/Male
American, British, English
Dove
Boy/Male
American, Australian, British, English, Jamaican
Dweller by the Rocky Land; Rock; Rocky Land
Boy/Male
Hindu, Indian
Honest and Dignified
CONNES EMBEDDING-PROBLEM
CONNES EMBEDDING-PROBLEM
CONNES EMBEDDING-PROBLEM
CONNES EMBEDDING-PROBLEM
CONNES EMBEDDING-PROBLEM
n.
The conger eel; -- called also congeree.
n.
Anything resembling a bonnet in shape or use
v. t.
To impart or communicate; as, to convey an impression; to convey information.
n.
A troop of cavalry; -- so called from its being accompanied by a cornet player.
n.
A marine European fish (Crenilabrus melops); also, the related American cunner. See Cunner.
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.
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.
a.
Plane or flat on one side, and convex on the other; as, a plano-convex lens. See Convex, and Lens.
v. t.
To connect.
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.
n.
Quarrel; contention; contest.
n.
Alt. of Blue-bonnet
p. pr. & vb. n.
of Embed
n.
A convex body or surface.
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.
n.
A private corner.
a.
Convex on both sides; double convex. See under Convex, a.
v. t.
To drive into a corner.
v. i.
To take off the bonnet or cap as a mark of respect; to uncover.
pl.
of Cornea