Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Classification of Locally Representable Actions of Finite Dimensional Quantum Groups on AFC*-Algebras


Affiliations
1 Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, Ontario-P7B 5E1, Canada
     

   Subscribe/Renew Journal


A K-theoretic classification is given of actions of finite dimensional quantum groups on AF C*-algebras that arise as inductive limits of inner actions on finite dimensional building blocks. The invariant used consists of the ordered K0 group of the smash product of the C*-algebra by the quantum group endowed with a module structure and a distinguished element. Similar results for finite dimensional semi-simple complex Hopf algebras are also discussed.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 223

PDF Views: 0




  • Classification of Locally Representable Actions of Finite Dimensional Quantum Groups on AFC*-Algebras

Abstract Views: 223  |  PDF Views: 0

Authors

A. J. Dean
Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, Ontario-P7B 5E1, Canada

Abstract


A K-theoretic classification is given of actions of finite dimensional quantum groups on AF C*-algebras that arise as inductive limits of inner actions on finite dimensional building blocks. The invariant used consists of the ordered K0 group of the smash product of the C*-algebra by the quantum group endowed with a module structure and a distinguished element. Similar results for finite dimensional semi-simple complex Hopf algebras are also discussed.