Journal of the Ramanujan Mathematical Society

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


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

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

Abstract Views: 217  |  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.