Transactions of the American Mathematical Society

Author(s): Takehiko Yamanouchi
Journal: Trans. Amer. Math. Soc. 355 (2003), 2813-2828.
MSC (2000): Primary 46L65; Secondary 22D25, 46L10, 81R50
Posted: March 12, 2003
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Abstract: It is shown that, for a minimal and integrable action of a locally compact quantum group on a factor, the group of automorphisms of the factor leaving the fixed-point algebra pointwise invariant is identified with the intrinsic group of the dual quantum group. It is proven also that, for such an action, the regularity of the fixed-point algebra is equivalent to the cocommutativity of the quantum group.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 46L65, 22D25, 46L10, 81R50

Takehiko Yamanouchi
Affiliation: Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810 Japan
Email: yamanouc@math.sci.hokudai.ac.jp

DOI: 10.1090/S0002-9947-03-03282-3
PII: S 0002-9947(03)03282-3
Keywords: Locally compact quantum group, action, factor, regularity
Received by editor(s): June 24, 2002
Received by editor(s) in revised form: November 6, 2002
Posted: March 12, 2003
Dedicated: Dedicated to Professor Masamichi Takesaki on the occasion of his seventieth birthday
Copyright of article: Copyright 2003, American Mathematical Society

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