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

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

2001-12-07

arxiv.org/abs/math/0112074v1

Mathematics

Operator Algebras

16 pages, LaTex, use xy

Scientific paper

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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