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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Masuda, Toshihiko (Autor), Tomatsu, Reiji, 1978- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2017.
Colección:Memoirs of the American Mathematical Society ; no. 1160.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Masuda, Toshihiko,  |e author. 
245 1 0 |a Classification of actions of discrete Kac algebras on injective factors /  |c Toshihiko Masuda, Reiji Tomatsu. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2017. 
264 4 |c ©2016 
300 |a 1 online resource (ix, 118 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 245, number 1160 
588 0 |a Online resource; title from PDF title page (viewed November 18, 2016). 
500 |a "Volume 245, Number 1160 (fifth of 6 numbers), January 2017." 
504 |a Includes bibliographical references (pages 113-116) and index. 
505 0 0 |t Introduction  |t Chapter 1. Preliminary  |t Chapter 2. Canonical extension of irreducible endomorphisms  |t Chapter 3. Kac algebras  |t Chapter 4. Classification of modular kernels  |t Chapter 5. Classification of actions with non-trivial modular parts  |t Chapter 6. Classification of centrally free actions  |t Chapter 7. Related problems  |t Chapter 8. Appendix. 
520 3 |a "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 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Kac-Moody algebras. 
650 0 |a Lie algebras. 
650 0 |a Injective modules (Algebra) 
650 6 |a Algèbres de Kac-Moody. 
650 6 |a Algèbres de Lie. 
650 6 |a Modules injectifs (Algèbre) 
650 7 |a Injective modules (Algebra)  |2 fast 
650 7 |a Kac-Moody algebras  |2 fast 
650 7 |a Lie algebras  |2 fast 
700 1 |a Tomatsu, Reiji,  |d 1978-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjFDTcKF483wBPqRGDtTd3 
710 2 |a American Mathematical Society,  |e publisher. 
758 |i has work:  |a Classification of actions of discrete Kac algebras on injective factors (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGYcT6v4Jf77kB846wCPPP  |4 https://id.oclc.org/worldcat/ontology/hasWork 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1160. 
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