In this paper we study the similarity between local topology and its global analogue, so-
called asymptotic topology. In the asymptotic case, the notions of dimension, cohomological …

Metric theory has undergone a dramatic phase transition in the last decades when its focus
moved from the foundations of real analysis to Riemannian geometry and algebraic …

The Baum–Connes conjecture [BC],[BCH] proposes a formula for the operator K-theory of
reduced group C∗-algebras and foliation C∗-algebras. If G is the fundamental group of a …

Je suis parvenu dans ma these a construire une k-theorie bivariante pour les algebres de
banach. Cela m'a permis de demontrer la conjecture de baum-connes pour les groupes de …

arXiv:math/0402405v1 [math.KT] 25 Feb 2004 Page 1 arXiv:math/0402405v1 [math.KT] 25
Feb 2004 The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory Wolfgang …

The Baum-Connes conjecture is part of A. Connes' non-commutative geometry programme.
It can be viewed as a conjectural generalisation of the Atiyah-Singer index theorem, to the …

EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS Page 1 J. London
Math. Soc. (2) 70 (2004) 703–718 Cо2004 London Mathematical Society DOI: 10.1112/S0024610704005897 …

We provide an expository account of Guoliang Yu's property A. The piece starts from the
basic definitions, and goes on to discuss closure properties of the class of property A spaces …

These notes are about the formulation of the Baum-Connes conjecture in operator algebra
theory and the proofs of some cases of it. They are aimed at readers who have some prior …

A systematic description is given of properties of the group J (k) of formal power series in
one variable with coefficients in a commutative unitary ring k. This topological group has …