Unconditional integrability for dual actions
Copyright policy )Unconditional integrability for dual actions
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.
22 pages, plain TeX
- Universidade de São Paulo Brazil
- UNIVERSIDADE DE SAO PAULO Brazil
Fourier inversion theorems, \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Harmonic analysis on specific compact groups, Hilbert space, Mathematics - Operator Algebras, \(C^*\)-algebra, Functional Analysis (math.FA), Mathematics - Functional Analysis, dual action, linear operators, FOS: Mathematics, locally compact abelian group, Operator Algebras (math.OA), Analysis on specific locally compact and other abelian groups
Fourier inversion theorems, \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Harmonic analysis on specific compact groups, Hilbert space, Mathematics - Operator Algebras, \(C^*\)-algebra, Functional Analysis (math.FA), Mathematics - Functional Analysis, dual action, linear operators, FOS: Mathematics, locally compact abelian group, Operator Algebras (math.OA), Analysis on specific locally compact and other abelian groups
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).10 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!