Automorphism group and representation of a twisted multi-loop algebra
β Scribed by Cui Chen; Hai Feng Lian; Shao Bin Tan
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2010
- Tongue
- English
- Weight
- 269 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1439-7617
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## Abstract In Β§ l of this article, we study groupβtheoretical properties of some automorphism group Ξ¨^\*^ of the metaβabelian quotient Β§ of a free proβ__l__ group Β§ of rank two, and show that the conjugacy class of some element of order two of Ξ¨^\*^ is not determined by the action induced on the a
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,