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American Mathematical Society

American Mathematical Society
Rokhlin actions of finite groups on UHF-absorbing $\mathrm{C}^*$-algebras This paper serves as a source of examples of Rokhlin actions or locally representable actions of finite groups on -algebras satisfying a certain UHF-absorption condition. We show that given any finite group and a separable, unital -algebra that absorbs tensorially, one can lift any group homomorphism to an honest Rokhlin action of on . belongs to a certain class of -algebras that is classifiable by a suitable invariant (e.g. -theory), then in fact every -action on the invariant lifts to a Rokhlin action of . of a Rokhlin action on a UHF-absorbing -algebra, an inductive limit decomposition is obtained in terms of and . is assumed to be abelian, then the dual action is locally representable in a very strong sense. -groups. -algebras to a question about certain finite group actions on

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