Box spaces, expanders, and rigidity
Amenability, coarse embeddability and fixed point properties December 06, 2016 - December 09, 2016
Location: MSRI: Simons Auditorium
expander graph
coarse embedding
expander
Amenability
a-T-menability
fixed point properties
Banach space
group cohomology
hyperbolic groups and generalizations
43-XX - Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx}
46-XX - Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
14643
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
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14643
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