Generalized permutative representations of Cuntz algebras

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dc.creatorKawamura, Katsunori
dc.date2005-05-06
dc.date2006-03-23
dc.date.accessioned2026-07-07T06:39:54Z
dc.date.available2026-07-07T06:39:54Z
dc.descriptionWe introduce representations of the Cuntz algebra $\con$ which are parameterized by sequences in the set of unit vectors in ${\bf C}^{N}$. These representations are natural generalizations of permutative representations by Bratteli-Jorgensen and Davidson-Pitts. We show their existence, irreducibility, equivalence, uniqueness of irreducible decomposition and decomposition formulae by using parameters of representations.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0505101
dc.identifierhttp://arxiv.org/abs/math/0505101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101255
dc.subjectOperator Algebras
dc.subjectRepresentation Theory
dc.subject47D25
dc.titleGeneralized permutative representations of Cuntz algebras
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