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Kac algebras arising from composition of subfactors: general theory and classification
About this Title
Masaki Izumi and Hideki Kosaki
Publication: Memoirs of the American Mathematical Society
Publication Year:
2002; Volume 158, Number 750
ISBNs: 978-0-8218-2935-6 (print); 978-1-4704-0343-0 (online)
DOI: https://doi.org/10.1090/memo/0750
MathSciNet review: 1903399
MSC: Primary 46L37; Secondary 16S35, 16W30, 46L40
Table of Contents
Chapters
- 1. Introduction
- 2. Actions of matched pairs
- 3. Cocycles attached to the pentagon equation
- 4. Multiplicative unitary
- 5. Kac algebra structure
- 6. Group-like elements
- 7. Examples of finite-dimensional Kac algebras
- 8. Inclusions with the Coxeter-Dynkin graph $D^{(1)}_6$ and the Kac-Paljutkin algebra
- 9. Structure theorems
- 10. Classification of certain Kac algebras
- 11. Classification of Kac algebras of dimension 16
- 12. Group extensions of general Kac algebras
- 13. 2-cocycles of Kac algebras
- 14. Classification of Kac algebras of dimension 24