Tensor Products of Fell Bundles over Discrete Groups

Details Tensor Products of Fell Bundles over Discrete Groups Tensor Products of Fell Bundles over Discrete Groups

1997-12-16

arxiv.org/abs/funct-an/9712006v1

Mathematics

Operator Algebras

AMS-Latex, 25 pages, diagrams with the xypic macros

Scientific paper

We prove, by means of the tensor product of Fell bundles, that a Fell bundle
B={B_t}_{t in G} over a discrete group G has nuclear cross-sectional
C^*-algebra, whenever B has the approximation property and the unit fiber B_e
is nuclear. In particular, any twisted partial crossed product of a nuclear
C^*-algebra by an amenable discrete group is nuclear.

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