Box spaces, expanders, and rigidity
Presenter
December 7, 2016
Keywords:
- expander graph
- coarse embedding
- expander
- amenability
- a-T-menability
- fixed point properties
- Banach space
- group cohomology
- hyperbolic groups and generalizations
MSC:
- 22E15
- 19-xx
- 20-xx
- 43-xx
- 46-xx
- 57-xx
- 58-xx
- 46L80
- 20J06
- 43A07
- 20F65
Abstract
We will present a new construction of a box space of a free group which does not contain coarsely embedded expanders, but does not embed coarsely into Hilbert space. We will also describe a new rigidity result for box spaces of finitely presented groups, and give some applications. This is joint work with Thiebout Delabie