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Universal minimal flows relative to a URS Tsankov, Todor
Description
Let G be a locally compact group and let Sub(G) denote the compact space of closed subgroups of G. G acts naturally on Sub (G) by conjugation. A uniformly recurrent subgroup (URS) of G is a closed, minimal subset of Sub (G). To every minimal topological dynamical system of G one can naturally associate its stabilizer URS and Glasner and Weiss asked whether every URS can be obtained in this manner. We answer this question in the affirmative by constructing, for a fixed URS H, a G-flow with stabilizer URS equal to H and universal for all minimal flows whose stabilizer URS is subordinate to H. This is joint work with Nicolas Matte Bon.
Item Metadata
Title |
Universal minimal flows relative to a URS
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-06-16T12:02
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Description |
Let G be a locally compact group and let Sub(G) denote the compact space of closed subgroups of G. G acts naturally on Sub (G) by conjugation. A uniformly recurrent subgroup (URS) of G is a closed, minimal subset of Sub (G). To every minimal topological dynamical system of G one can naturally associate its stabilizer URS and Glasner and Weiss asked whether every URS can be obtained in this manner. We answer this question in the affirmative by constructing, for a fixed URS H, a G-flow with stabilizer URS equal to H and universal for all minimal flows whose stabilizer URS is subordinate to H. This is joint work with Nicolas Matte Bon.
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Extent |
27 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Université Paris 7
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Series | |
Date Available |
2017-12-14
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0362006
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International