The Spectral Theorem for Bimodules in Higher Rank Graph C*-algebras

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dc.creatorHopenwasser, Alan
dc.date2005-04-15
dc.date2005-05-30
dc.date.accessioned2026-07-07T05:19:09Z
dc.date.available2026-07-07T05:19:09Z
dc.descriptionIn this note we extend the spectral theorem for bimodules to the higher rank graph C*-algebra context. Under the assumption that the graph is row finite and has no sources, we show that a bimodule over a natural abelian subalgebra is determined by its spectrum iff it is generated by the Cuntz-Krieger partial isometries which it contains iff the bimodule is invariant under the gauge automorphisms. We also show that the natural abelian subalgebra is a masa iff the higher rank graph satisfies an aperiodicity condition.
dc.descriptionMinor typographical errors corrected. Paper will appear in the Illinois Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0504331
dc.identifierhttp://arxiv.org/abs/math/0504331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74918
dc.subjectOperator Algebras
dc.subject47L40
dc.titleThe Spectral Theorem for Bimodules in Higher Rank Graph C*-algebras
dc.typetext

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