Discrete product systems of finite-dimensional Hilbert spaces, and generalized Cuntz algebras

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dc.creatorFowler, Neal J.
dc.date1999-04-21
dc.date.accessioned2026-07-07T05:28:46Z
dc.date.available2026-07-07T05:28:46Z
dc.descriptionTo each discrete product system E of finite-dimensional Hilbert spaces we associate a C*-algebra O_E. When E is the n-dimensional product system over N, O_E is the Cuntz algebra O_n, and the irrational rotation algebras appear as O_E for certain one-dimensional product systems over N^2. We give conditions which ensure that O_E is simple, purely infinite, and nuclear. Our main examples are the lexicographic product systems, for which we obtain slightly stronger results.
dc.description16 pages, AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/9904116
dc.identifierhttp://arxiv.org/abs/math/9904116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78388
dc.subjectOperator Algebras
dc.subject46L55
dc.titleDiscrete product systems of finite-dimensional Hilbert spaces, and generalized Cuntz algebras
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