Finite-dimensional representations constructed from random walks
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About this item
| Description: |
Ozawa, N (Kyoto University)
Thursday 16th March 2017 - 11:00 to 12:00 |
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| Created: | 2017-03-20 17:12 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Ozawa, N |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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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