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Comparison radius and mean dimension Niu, Zhuang
Description
Consider a free and minimal topological dynamical system and the corresponding crossed-product C*-algebra. We show that, under an assumption of Rokhlin property and an assumption of Cuntz comparison of open sets, the radius of comparison of the C*-algebra is at most the half of the mean (topological) dimension of the dynamical system. Moreover, still under these two assumptions, if the mean dimension is zero, then the C*-algebra is Jiang-Su stable or finite dimensional. This includes all free and minimal actions by Z^d and some other systems.
Item Metadata
Title |
Comparison radius and mean dimension
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-09-09T14:13
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Description |
Consider a free and minimal topological dynamical system and the corresponding crossed-product C*-algebra. We show that, under an assumption of Rokhlin property and an assumption of Cuntz comparison of open sets, the radius of comparison of the C*-algebra is at most the half of the mean (topological) dimension of the dynamical system. Moreover, still under these two assumptions, if the mean dimension is zero, then the C*-algebra is Jiang-Su stable or finite dimensional. This includes all free and minimal actions by Z^d and some other systems.
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Extent |
48.0 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 Wyoming
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Series | |
Date Available |
2020-03-08
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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 |
10.14288/1.0389499
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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 Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International