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This paper is an introduction and survey of a “global” theory of measure preserving equivalence relations and graphs. In this theory one views a measure preserving equivalence relation or graph as a point in an appropriate topological space and then studies the properties of this space from a topological, descriptive set theoretic and dynamical point of view.
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This content will become publicly available on February 6, 2026
Locally compact sofic entropy theory
This paper generalizes sofic entropy theory, in both the topological and measure-theory settings, to actions of locally compact groups. We prove invariance under topological and measure conjugacy of these entropies and establish the variational principle.
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- Award ID(s):
- 2154680
- PAR ID:
- 10570560
- Publisher / Repository:
- American Mathematical Society (AMS)
- Date Published:
- Journal Name:
- Transactions of the American Mathematical Society, Series B
- Volume:
- 12
- Issue:
- 5
- ISSN:
- 2330-0000
- Format(s):
- Medium: X Size: p. 165-190
- Size(s):
- p. 165-190
- Sponsoring Org:
- National Science Foundation
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