Presented by:
Narutaka Ozawa
Date:
Thursday 16th March 2017 - 11:00 to 12:00
Venue:
INI Seminar Room 2
Abstract:
Let an amenable group G and a probability measure \mu on
it (that is finitely-supported, symmetric, and
non-degenerate) be given. I will present a construction, via the
\mu-random walk on G, of a harmonic cocycle and the associated orthogonal
representation of G. Then I describe when the constructed orthogonal
representation contains a non-trivial finite-dimensional
subrepresentation (and hence an infinite virtually abelian quotient),
and some sufficient conditions for G to satisfy Shalom's property
HFD. (joint work with A. Erschler, arXiv:1609.08585)
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