Logic Seminar

Topology and convexity in the space of actions modulo weak equivalence, III

Peter Burton, Mathematics, Caltech,

Abstract: Abert and Elek have defined a topology on the space of weak
equivalence classes of measure-preserving actions of a countable group.
Tucker-Drob has extended this to the space of stable weak equivalence
classes. Both of these spaces carry a well-defined notion of convex
combination which is compatible with the topology. We will discuss
topological and geometric properties of this convex structure and present
recent results of Bowen, Tucker-Drob and the speaker.

Event Sponsors:

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For more information, please contact Alexander Kechris by email at [email protected] or visit http://www.math.caltech.edu/~logic/index.html.