Twisted Partial Actions, A Classification of Stable C*-Algebraic Bundles (Preliminary Version)

Details Twisted Partial Actions, A Classification of Stable C*-Algebraic Bundles (Preliminary Version) Twisted Partial Actions, A Classification of Stable C*-Algebraic Bundles (Preliminary Version)

1994-05-02

arxiv.org/abs/funct-an/9405001v1

Mathematics

Operator Algebras

28 pages, plain TeX, USP-RE-01

Scientific paper

We introduce the notion of continuous twisted partial actions of a locally compact group on a C*-algebra. With such, we construct an associated C*-algebraic bundle called the semidirect product bundle. Our main theorem shows that, given any C*-algebraic bundle which is second countable and whose unit fiber algebra is stable, there is a continuous twisted partial action of the base group on the unit fiber algebra, whose associated semidirect product bundle is isomorphic to the given one.

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