Journal of the Ramanujan Mathematical Society
Volume 31, Issue 4, December 2016 pp. 399–418.
Classification of locally representable actions of finite dimensional quantum groups on
AF C*-algebras
Authors:
A. J. Dean
Author institution:Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, Ontario, Canada, P7B 5E1
Summary:
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.
Contents
Full-Text PDF