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Groups with infinite FC-center have the Schmidt property Kida, Yoshikata
Description
A countable group is said to have the Schmidt property if it admits an ergodic free p.m.p. action such that the full group of the associated orbit equivalence relation contains a non-trivial central sequence. It was originally asked by Klaus Schmidt whether any inner amenable group has this property. We show that any countable group with infinite FC-center has the Schmidt property, and as its consequence, any inner amenable, property (T) group has the Schmidt property. This is a joint work with Robin Tucker-Drob.
Item Metadata
| Title |
Groups with infinite FC-center have the Schmidt property
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-09-30T10:31
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| Description |
A countable group is said to have the Schmidt property if it admits an ergodic free p.m.p. action such that the full group of the associated orbit equivalence relation contains a non-trivial central sequence. It was originally asked by Klaus Schmidt whether any inner amenable group has this property. We show that any countable group with infinite FC-center has the Schmidt property, and as its consequence, any inner amenable, property (T) group has the Schmidt property. This is a joint work with Robin Tucker-Drob.
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| Extent |
53.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Tokyo
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| Series | |
| Date Available |
2020-03-29
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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 |
10.14288/1.0389669
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Researcher
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International