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Combinatorial and Geometric Group Theory
May 5-10, 2006
Vanderbilt University
Nashville, TN, USA

Organizers
Goulnara Arzhantseva, Mike Mihalik, Denis Osin, Mark Sapir, Efim Zelmanov

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The Action of Thompson's Group on a CAT(0) Boundary
by
Daniel Farley
Max Planck Institute for Mathematics

One way to prove that Thompson's group is non-amenable is to show that it acts isometrically on a proper CAT(0) space without fixing any points at infinity.

I will consider a natural CAT(0) cubical complex on which F acts and show that it fixes an arc at infinity of Tits length p/2.

The talk will also include a description of the CAT(0) boundary for F in terms of semigroup pictures.

Date received: February 27, 2006

Copyright © 2006 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 # caqu-60.