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Unconditional Integrability for Dual Actions

Ruy Exel

funct-anarXiv:funct-an/9504001

Abstract

The dual action of a locally compact abelian group, in the context of C*-algebraic bundles, is shown to satisfy an integrability property, similar to Rieffel's proper actions. The tools developed include a generalization of Bochner's integral as well as a Fourier inversion formula for operator valued maps.

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