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|a Downarowicz, Tomasz.
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|a Symbolic extensions of amenable group actions and the comparison property.
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| 264 |
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|a Providence :
|b American Mathematical Society,
|c 2023.
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|a 1 online resource.
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|a Cover -- Title page -- Chapter 1. Introduction -- 1.1. Motivation -- 1.2. Subject of the paper -- 1.3. Organization of the paper -- Acknowledgment -- Chapter 2. Preliminaries on actions of countable amenable groups -- 2.1. Group actions, subshifts, symbolic extensions, block codes -- 2.2. An -modification, ( , )-invariance, Følner sequence, amenability -- 2.3. The Choquet simplex of invariant probability measures -- 2.4. The ergodic theorem -- 2.5. Entropy -- 2.6. Zero-dimensional systems -- Chapter 3. Entropy structure and the easy direction of the main theorem -- 3.1. Structures
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| 505 |
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|a 3.2. Superenvelopes -- 3.3. Definition of the entropy structure -- 3.4. Symbolic extensions-the easy direction -- Chapter 4. Quasitilings and tiling systems -- 4.1. Terminology and facts not requiring amenability -- 4.2. Terminology and facts requiring amenability -- 4.3. Tiled entropy -- Chapter 5. Quasi-symbolic extensions-the hard direction of the main theorem -- Chapter 6. The comparison property -- 6.1. Definition of the comparison property -- 6.2. Banach density interpretation of the comparison property -- 6.3. Comparison property of subexponential groups
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|a Chapter 7. Encodable tiling systems -- 7.1. Encodable systems of quasitilings -- 7.2. Encodability of tiling systems versus the comparison property -- 7.3. Symbolic extensions for actions of selected groups -- Appendix A -- Bibliography -- Back Cover
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|a Electronic reproduction.
|b Ann Arbor, MI
|n Available via World Wide Web.
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|a Group actions (Mathematics)
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|a ProQuest (Firm)
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