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Weak forms of amenability for CAT(0) cubical groups

Amenability, coarse embeddability and fixed point properties December 06, 2016 - December 09, 2016

December 06, 2016 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Erik Guentner (University of Hawaii at Manoa)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • CAT(0)

  • cube complex

  • k-amenability

  • Amenability

  • a-T-menability

  • hyperbolic groups

  • Cayley graphs

  • fixed point properties

  • geometric group theory

  • Banach space

  • group cohomology

  • index theory

  • expander graph

  • non-commutative geometry

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14638

Abstract

A group which act properly on a CAT(0) cubical complex, while not necessarily amenable, satisfies several weak forms of amenability: such a group is a-T-menable, weakly amenable and K-theoretically amenable. In the talk, based on joint work with J. Brodzki and N. Higson, I will describe a proof of K-amenability which finds its roots in earlier work of P. Julg and A. Valette on groups acting on trees. I will focus on the geometric constructions involved, and will keep the analytic complications to a minimum

Supplements
27466?type=thumb Guentner Notes 1.5 MB application/pdf Download
Video/Audio Files

14638

H.264 Video 14638.mp4 396 MB video/mp4 rtsp://videos.msri.org/data/000/027/225/original/14638.mp4 Download
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