On a categorical framework for classifying C*-dynamics up to cocycle conjugacy
Gabor Szabo
Abstract:We provide the rigorous foundations for a categorical approach to the classification of C * -dynamics up to cocycle conjugacy. Given a locally compact group G, we consider a category of (twisted) G-C * -algebras, where morphisms between two objects are allowed to be equivariant maps or exterior equivalences, which leads to the concept of so-called cocycle morphisms. An isomorphism in this category is precisely a cocycle conjugacy in the known sense. We show that this category allows sequential inductive limits… Show more
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