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Topology and Dynamics: Rokhlin Memorial
August 19-25, 1999
Steklov Institute of Mathematics at St. Petersburg
St. Petersburg, Russia

Organizers
N. Netsvetaev, A. Vershik, O. Viro

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Amenability, hyperfiniteness and isoperimetric properties of equivalence relations
by
Vadim A. Kaimanovich
CNRS, Université Rennes-1

We formulate new criteria of amenability of discrete equivalence relations: in terms of asymptotically invariant families of leafwise probability measures and in terms of isoperimetric properties of leafwise graph structures. These criteria lead to a geometric proof of the Connes-Feldman-Weiss theorem on coincidence of amenability and hyperfiniteness for equivalence relations.

http://www.maths.univ-rennes1.fr/~kaimanov

Date received: June 25, 1999

Copyright © 1999 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 # cacy-45.