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19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

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The gamma element for discrete groups which admit a uniform embedding into Hilbert space
by
Jean-Louis Tu
University of Paris VI

N. Higson showed that, for countable groups which are amenable at infinity (equivalently: which are exact), the Baum-Connes map with coefficients is split injective. More generally, the same holds for countable group G which admit a uniform embedding into Hilbert space. In this paper, we generalize this result by showing that such groups admit a gamma element in the sense of Kasparov, \gamma in KKG(C, C).

Date received: May 31, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caiz-41.