A Note on the Representation Theory of Fell Bundles

Details A Note on the Representation Theory of Fell Bundles A Note on the Representation Theory of Fell Bundles

1999-04-05

arxiv.org/abs/math/9904013v1

Mathematics

Operator Algebras

Plain TeX, 5 pages, no figures

Scientific paper

We show that every Fell bundle B over a locally compact group G is "proper"
in a sense recently introduced by Ng. Combining our results with those of Ng we
show that if B satisfies the "approximation property" then it is amenable in
the sense that the full and reduced cross-sectional C*-algebras coincide.

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