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A Duality Theorem for Ergodic Actions of Compact Quantum Groups onC*-Algebras

✍ Scribed by Claudia Pinzari; John E. Roberts


Publisher
Springer
Year
2007
Tongue
English
Weight
491 KB
Volume
277
Category
Article
ISSN
0010-3616

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Description of the Automorphism Group Au
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It is shown that, for a minimal action a of a compact Kac algebra K on a factor A, the group of all automorphisms leaving the fixed-point algebra A a pointwise invariant is topologically isomorphic to the intrinsic group of the dual Kac algebra # K K. As an application, in the case where dim K o 1,