| Description |
1 online resource (ix, 118 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 245, number 1160 |
|
Memoirs of the American Mathematical Society ; no. 1160.
|
| 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 |
| Summary |
"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 is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, we will show that the Connes-Takesaki module is a complete invariant."--Publisher website |
| Notes |
"Volume 245, Number 1160 (fifth of 6 numbers), January 2017." |
| Bibliography |
Includes bibliographical references (pages 113-116) and index |
| Notes |
Online resource; title from PDF title page (viewed November 18, 2016) |
| Subject |
Kac-Moody algebras.
|
|
Lie algebras.
|
|
Injective modules (Algebra)
|
|
Injective modules (Algebra)
|
|
Kac-Moody algebras
|
|
Lie algebras
|
| Form |
Electronic book
|
| Author |
Tomatsu, Reiji, 1978- author.
|
|
American Mathematical Society, publisher
|
| ISBN |
9781470436094 |
|
1470436094 |
|
