Crossed products by endomorphisms, vector bundles and group duality, II

Details Crossed products by endomorphisms, vector bundles and group duality, II Crossed products by endomorphisms, vector bundles and group duality, II

2004-12-22

arxiv.org/abs/math/0412451v3

Int.J.Math.17 (2006) 65-96

Mathematics

Operator Algebras

33 pages, uses xy.sty; the sequel of math.OA/0301214 v4

Scientific paper

10.1142/S0129167X06003321

We study C*-algebra endomorphims which are special in a weaker sense w.r.t. the notion introduced by Doplicher and Roberts. We assign to such endomorphisms a geometrical invariant, representing a cohomological obstruction for them to be special in the usual sense. Moreover, we construct the crossed product of a C*-algebra by the action of the dual of a (nonabelian, noncompact) group of vector bundle automorphisms. These crossed products supply a class of examples for such generalized special endomorphisms.

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