• Thumbnail for Baum–Connes conjecture
    In mathematics, specifically in operator K-theory, the BaumConnes conjecture suggests a link between the K-theory of the reduced C*-algebra of a group...
    8 KB (1,183 words) - 03:02, 26 October 2024
  • Thumbnail for Alain Connes
    Connes embedding problem. Following this, he made contributions in operator K-theory and index theory, which culminated in the BaumConnes conjecture...
    20 KB (1,521 words) - 22:29, 23 March 2025
  • nontrivial elementary embedding V→V exist? BaumConnes conjecture: the assembly map is an isomorphism. Berge conjecture that the only knots in the 3-sphere which...
    195 KB (20,026 words) - 13:12, 7 May 2025
  • K-theory. The BaumConnes conjecture, now a long-standing problem, has been joined by others in a group known as the isomorphism conjectures in K-theory...
    13 KB (1,846 words) - 20:29, 5 February 2025
  • ISBN 9783540265269. Valette, Alain (2002). Introduction to the Baum-Connes Conjecture. Springer Science & Business Media. p. viii. ISBN 9783764367060...
    35 KB (1,461 words) - 12:50, 10 May 2025
  • {\displaystyle K_{n}(RG)} or L n ( R G ) {\displaystyle L_{n}(RG)} . The BaumConnes conjecture formulates a similar statement, for the topological K-theory of...
    12 KB (2,215 words) - 12:50, 17 January 2025
  • published counterexamples to a generalization of the BaumConnes conjecture (i.e. Baum-Connes conjecture with coefficients) in various special cases, based...
    4 KB (421 words) - 16:27, 21 October 2024
  • Thumbnail for Geometric group theory
    in particular, by considerable progress on the Novikov conjecture and the BaumConnes conjecture and the development and study of related group-theoretic...
    38 KB (4,308 words) - 13:31, 7 April 2024
  • K-groups. Furthermore, it was essential in the development of the BaumConnes conjecture and plays a crucial role in noncommutative topology. KK-theory was...
    7 KB (1,098 words) - 14:45, 14 September 2024
  • Thumbnail for Paul Baum (mathematician)
    University. He is known for formulating the Baum–Connes conjecture with Alain Connes in the early 1980s. Baum studied at Harvard University, earning a bachelor's...
    3 KB (255 words) - 00:07, 19 May 2024
  • Thumbnail for Vincent Lafforgue
    contribution to the K-theory of operator algebras: the proof of the BaumConnes conjecture for discrete co-compact subgroups of S L ( 3 , R ) {\displaystyle...
    5 KB (387 words) - 04:55, 27 September 2024
  • Novikov conjecture for the fundamental group, which deals with the K-theory of C*-algebras. This in turn is a special case of the BaumConnes conjecture for...
    35 KB (5,031 words) - 16:43, 18 May 2025
  • Thumbnail for Guoliang Yu
    conjecture on homotopy invariance of higher signatures, the BaumConnes conjecture on K-theory of group C*-algebras, and the stable Borel conjecture on...
    5 KB (579 words) - 13:53, 23 December 2024
  • Thumbnail for Antony Wassermann
    of compact groups on von Neumann algebras, and his proof of the BaumConnes conjecture for connected reductive linear Lie groups. Wassermann was born in...
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  • Novikov conjecture for groups with finite asymptotic dimension. Annals of Mathematics, Vol. 147, 2 (1998) 325–355. The coarse Baum-Connes conjecture for spaces...
    323 KB (31,978 words) - 18:11, 23 May 2025
  • Thumbnail for Thomas Schick
    which the Baum-Connes conjecture is known to be true. In the 1990s there were proofs of many special cases of the Gromov-Lawson-Rosenberg conjecture concerning...
    8 KB (877 words) - 11:19, 18 July 2024
  • groups with the Haagerup Property satisfy the BaumConnes conjecture and the related Novikov conjecture. Groups with the Haagerup property are also uniformly...
    3 KB (386 words) - 23:01, 21 July 2022
  • degree two. 1990: Connes and Henri Moscovici prove the local index formula in the context of non-commutative geometry. 1994: Connes, Sullivan, and Teleman...
    53 KB (7,553 words) - 10:43, 28 March 2025
  • build new groups that are counter-examples to an extension of the BaumConnes conjecture. Mikhail Gromov. Hyperbolic groups. Essays in group theory, 75–263...
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  • Thumbnail for Guido Mislin
    of Nilpotent Groups and Spaces and Proper Group Actions and the Baum-Connes Conjecture. Mislin completed his undergraduate studies and diploma in Mathematics...
    9 KB (953 words) - 07:44, 15 October 2024
  • (necessarily of infinite dimension). A consequence is that F satisfies the BaumConnes conjecture. Higman group Non-commutative cryptography Shavgulidze, E. (2009)...
    10 KB (1,364 words) - 07:36, 24 April 2025
  • Genealogy Project Coxeter-James Prize pdf Higson, Nigel (1998). "The Baum-Connes Conjecture". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp...
    1 KB (129 words) - 12:51, 26 March 2024
  • Thumbnail for Jean-Benoît Bost
    arithmetic geometry. The eponymous Bost conjecture is a variant of the BaumConnes conjecture. In 1990, he received the Prix Peccot-Vimont of the Collège de France...
    4 KB (367 words) - 18:49, 13 January 2025
  • homology. Kuku's research includes the BaumConnes conjecture in non-commutative geometry. He formulated this conjecture for the action of quantum groups and...
    19 KB (2,009 words) - 13:12, 12 April 2025
  • 1070/RM2000v055n06ABEH000334. S2CID 250889716. Yu, Guoliang (2000). "The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space"....
    11 KB (1,548 words) - 13:19, 4 May 2025
  • theory, introduced by Vincent Lafforgue in connection with the BaumConnes conjecture. It was jointly supervised by Marc Burger and Alain Valette. After...
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  • buildings with Robertson and Steger provided insights into the Baum-Connes conjecture. Ramagge has published 28 research publications (correct of March...
    12 KB (1,214 words) - 00:00, 28 May 2025
  • and the Fields medalists Laurent Schwartz, Jean-Pierre Serre, or Alain Connes. Some Peccot lectures may additionally be granted – exceptionally and irregularly...
    26 KB (501 words) - 08:20, 12 November 2024