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,
β¦ LIBER β¦
Classification of Minimal Actions of a Compact Kac Algebra with Amenable Dual
β Scribed by Toshihiko Masuda; Reiji Tomatsu
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 615 KB
- Volume
- 274
- Category
- Article
- ISSN
- 0010-3616
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Let M be a factor with separable predual and G a compact group of automorphisms of M whose action is minimal, i.e., M G$ & M=C, where M G denotes the G-fixed point subalgebra. Then every intermediate von Neumann algebra M G /N/M has the form N=M H for some closed subgroup H of G. An extension of thi