eBook ISBN: | 978-1-4704-3609-4 |
Product Code: | MEMO/245/1160.E |
List Price: | $75.00 |
MAA Member Price: | $67.50 |
AMS Member Price: | $45.00 |
eBook ISBN: | 978-1-4704-3609-4 |
Product Code: | MEMO/245/1160.E |
List Price: | $75.00 |
MAA Member Price: | $67.50 |
AMS Member Price: | $45.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 245; 2016; 118 ppMSC: Primary 46
The authors study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. They construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, the authors show that the Connes–Takesaki module is a complete invariant.
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Table of Contents
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Chapters
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Introduction
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1. Preliminary
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2. Canonical extension of irreducible endomorphisms
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3. Kac algebras
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4. Classification of modular kernels
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5. Classification of actions with non-trivial modular parts
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6. Classification of centrally free actions
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7. Related problems
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8. Appendix
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Additional Material
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The authors study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. They construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, the authors show that the Connes–Takesaki module is a complete invariant.
-
Chapters
-
Introduction
-
1. Preliminary
-
2. Canonical extension of irreducible endomorphisms
-
3. Kac algebras
-
4. Classification of modular kernels
-
5. Classification of actions with non-trivial modular parts
-
6. Classification of centrally free actions
-
7. Related problems
-
8. Appendix