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

2001/12/07 by Ezio Vasselli, Vasselli, Ezio
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.OA #msc:46L05

paper · pdf · doi:10.48550/arxiv.math/0112074

16 pages, LaTex, use xy

arxiv created 2001/12/07 · arxiv updated 2009/11/30

Abstract

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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