Unconditional Integrability for Dual Actions
classification
funct-an
math.OA
keywords
actionsdualintegrabilityabelianactionalgebraicbochnerbundles
read the original 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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