Classification of actions of discrete Kac algebras on injective factors /

"We will study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. We will construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second...

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Bibliographic Details
Online Access: Full text (MCPHS users only)
Main Authors: Masuda, Toshihiko (Author), Tomatsu, Reiji, 1978- (Author)
Format: Electronic eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2017
Series:Memoirs of the American Mathematical Society ; no. 1160.
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Local Note:ProQuest Ebook Central
Table of Contents:
  • Introduction Chapter 1. Preliminary Chapter 2. Canonical extension of irreducible endomorphisms Chapter 3. Kac algebras Chapter 4. Classification of modular kernels Chapter 5. Classification of actions with non-trivial modular parts Chapter 6. Classification of centrally free actions Chapter 7. Related problems Chapter 8. Appendix.