Remote access

How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

   1a. To purchase any ebook backfile or to subscibe to the current year of Contemporary Mathematics, please download this required license agreement,

   1b. To subscribe to the current year of Memoirs of the AMS, please download this required license agreement.

   2. Complete and sign the license agreement.

   3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2294  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046

Visit the AMS Bookstore for individual volume purchases.

Browse the current eBook Collections price list

Powered by MathJax

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)
MathSciNet review: 1903399
MSC: Primary 46L37; Secondary 16S35, 16W30, 46L40

View full volume PDF

Read more about this volume

View other years and numbers:

Table of Contents


  • 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