Published October 2019
| Version Submitted
Journal Article
Open
Uniform mixing and completely positive sofic entropy
Creators
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1.
Courant Institute of Mathematical Sciences
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2.
California Institute of Technology
Abstract
Let G be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserving G-actions and show that it implies completely positive sofic entropy. When G contains an element of infinite order, we use this to produce an uncountable family of pairwise nonisomorphic G-actions with completely positive sofic entropy. None of our examples is a factor of a Bernoulli shift.
Additional Information
© 2019 The Hebrew University of Jerusalem. Received May 13, 2016 and in revised form November 1, 2016. First Online: 12 July 2019. The first author's research was partially supported by the Simons Collaboration on Algorithms and Geometry. The second author's research was partially supported by NSF grants DMS-0968710 and DMS-1464475.Attached Files
Submitted - 1603.09026.pdf
Files
1603.09026.pdf
Additional details
Identifiers
- Eprint ID
- 97090
- Resolver ID
- CaltechAUTHORS:20190712-095630113
Related works
- Describes
- https://arxiv.org/abs/1603.09026 (URL)
Funding
- Simons Foundation
- NSF
- DMS-0968710
- NSF
- DMS-1464475
Dates
- Created
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2019-07-12Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field