Crossed products of C(X)-algebras by endomorphisms and C(X)-categories

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Vasselli, Ezio;
  • Subject: Mathematics - Operator Algebras | 46L05
    arxiv: Mathematics::Category Theory | Mathematics::Operator Algebras

We construct the crossed product of a C(X)-algebra by an endomorphism, in such a way that it becomes induced by a Hilbert C(X)-bimodule. Furthermore we introduce the notion of C(X)-category, and discuss relationships with crossed products and duality for compact groups.
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