Equicontinuous actions of semisimple Lie groups
Location: MSRI: Simons Auditorium
fixed point properties
hyperbolic groups and generalizations
Every fixed-point-free isometric action of a semisimple Lie group G is proper.
I will explain this in my talk. Later I will elaborate on further generalizations of this fact.
For example, the image of G under any continuous homomorphism into a topological group is closed. Another application is given by describing explicitly the WAP compactification of G (a notion that will be defined in the talk). The latter will be related to the decay property of matrix coefficients of reflexive representations.
The talk will be based on a joint work with Tsachik Gelander
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