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SUMMARY:Finite-dimensional representations constructed from random walks -
  Narutaka Ozawa (Kyoto University)
DTSTART:20170316T110000Z
DTEND:20170316T120000Z
UID:TALK71482@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Let an amenable group G and a probability measure \\mu on it (
 that is finitely-supported\, symmetric\, and non-degenerate) be given. I w
 ill present a construction\, via the \\mu-random walk on G\, of a harmonic
  cocycle and the associated orthogonal representation of G. Then I describ
 e when the constructed orthogonal representation contains a non-trivial fi
 nite-dimensional subrepresentation (and hence an infinite virtually abelia
 n quotient)\, and some sufficient&nbsp\; conditions for G to satisfy Shalo
 m&#39\;s property HFD. (joint work with A. Erschler\, arXiv:1609.08585)  <
 br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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