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Automorphism group of a polynomial ring and algebraic group action on an affine space

✍ Scribed by T Kambayashi

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
746 KB
Volume
60
Category
Article
ISSN
0021-8693

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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,