In mathematics, specifically in operator K-theory, the Baum–Connes conjecture suggests a link between the K-theory of the reduced C*-algebra of a group...

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

nontrivial elementary embedding V→V exist? Baum–Connes conjecture: the assembly map is an isomorphism. Berge conjecture that the only knots in the 3-sphere which...

ISBN 9783540265269. Valette, Alain (2002). Introduction to the Baum-Connes Conjecture. Springer Science & Business Media. p. viii. ISBN 9783764367060...

K-theory. The Baum–Connes conjecture, now a long-standing problem, has been joined by others in a group known as the isomorphism conjectures in K-theory...

{\displaystyle K_{n}(RG)} or L n ( R G ) {\displaystyle L_{n}(RG)} . The Baum–Connes conjecture formulates a similar statement, for the topological K-theory of...

published counterexamples to a generalization of the Baum–Connes conjecture (i.e. Baum-Connes conjecture with coefficients) in various special cases, based...

K-groups. Furthermore, it was essential in the development of the Baum–Connes conjecture and plays a crucial role in noncommutative topology. KK-theory was...

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...

in particular, by considerable progress on the Novikov conjecture and the Baum–Connes conjecture and the development and study of related group-theoretic...

contribution to the K-theory of operator algebras: the proof of the Baum–Connes conjecture for discrete co-compact subgroups of S L ( 3 , R ) {\displaystyle...

Novikov conjecture for the fundamental group, which deals with the K-theory of C*-algebras. This in turn is a special case of the Baum–Connes conjecture for...

conjecture on homotopy invariance of higher signatures, the Baum–Connes conjecture on K-theory of group C*-algebras, and the stable Borel conjecture on...

groups with the Haagerup Property satisfy the Baum–Connes conjecture and the related Novikov conjecture. Groups with the Haagerup property are also uniformly...

Novikov conjecture for groups with finite asymptotic dimension. Annals of Mathematics, Vol. 147, 2 (1998) 325–355. The coarse Baum-Connes conjecture for spaces...

of compact groups on von Neumann algebras, and his proof of the Baum–Connes conjecture for connected reductive linear Lie groups. Wassermann was born in...

proved the Atiyah conjecture for a large class of special cases. In 2007 he presented a method which proved the Baum-Connes conjecture for the full braid...

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

build new groups that are counter-examples to an extension of the Baum–Connes conjecture. Mikhail Gromov. Hyperbolic groups. Essays in group theory, 75–263...

of Nilpotent Groups and Spaces and Proper Group Actions and the Baum-Connes Conjecture. Mislin completed his undergraduate studies and diploma in Mathematics...

(necessarily of infinite dimension). A consequence is that F satisfies the Baum–Connes conjecture. Higman group Non-commutative cryptography Shavgulidze, E. (2009)...

Genealogy Project Coxeter-James Prize pdf Higson, Nigel (1998). "The Baum-Connes Conjecture". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp...

arithmetic geometry. The eponymous Bost conjecture is a variant of the Baum–Connes conjecture. In 1990, he received the Prix Peccot-Vimont of the Collège de France...

1070/RM2000v055n06ABEH000334. S2CID 250889716. Yu, Guoliang (2000). "The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space"....

homology. Kuku's research includes the Baum–Connes conjecture in non-commutative geometry. He formulated this conjecture for the action of quantum groups and...

theory, introduced by Vincent Lafforgue in connection with the Baum–Connes conjecture. It was jointly supervised by Marc Burger and Alain Valette. After...

buildings with Robertson and Steger provided insights into the Baum-Connes conjecture. Ramagge has published 28 research publications (correct of March...

and the Fields medalists Laurent Schwartz, Jean-Pierre Serre, or Alain Connes. Some Peccot lectures may additionally be granted – exceptionally and irregularly...