Atomic Representations of Rank 2 Graph Algebras

dc.creatorDavidson, Kenneth R.
dc.creatorPower, Stephen C.
dc.creatorYang, Dilian
dc.date2007-05-31
dc.date2008-11-22
dc.date.accessioned2026-07-07T10:19:50Z
dc.date.available2026-07-07T10:19:50Z
dc.descriptionWe provide a detailed analysis of atomic *-representations of rank 2 graphs on a single vertex. They are completely classified up to unitary equivalence, and decomposed into a direct sum or direct integral of irreducible atomic representations. The building blocks are described as the minimal *-dilations of defect free representations modelled on finite groups of rank 2.
dc.description42 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0705.4498
dc.identifierhttp://arxiv.org/abs/0705.4498
dc.identifierJ. Funct. Anal. 255 (2008), 819--853
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174652
dc.subjectOperator Algebras
dc.subject47L55
dc.titleAtomic Representations of Rank 2 Graph Algebras
dc.typetext

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