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- W1997728024 abstract "We introduce a new notion of twisted actions of inverse semigroups and show that they correspond bijectively to certain regular Fell bundles over inverse semigroups, yielding in this way a structure classification of such bundles. These include as special cases all the stable Fell bundles. Our definition of twisted actions properly generalizes a previous one introduced by Sieben and corresponds to Busby–Smith twisted actions in the group case. As an application we describe twisted étale groupoid C*-algebras in terms of crossed products by twisted actions of inverse semigroups and show that Sieben's twisted actions essentially correspond to twisted étale groupoids with topologically trivial twists." @default.
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- W1997728024 date "2011-02-06" @default.
- W1997728024 modified "2023-10-16" @default.
- W1997728024 title "Twisted actions and regular Fell bundles over inverse semigroups" @default.
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- W1997728024 doi "https://doi.org/10.1112/plms/pdr006" @default.
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