The Toeplitz algebra of a Hilbert bimodule

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dc.creatorFowler, Neal J.
dc.creatorRaeburn, Iain
dc.date1998-06-18
dc.date1998-06-23
dc.date.accessioned2026-07-07T05:25:05Z
dc.date.available2026-07-07T05:25:05Z
dc.descriptionSuppose a C*-algebra A acts by adjointable operators on a Hilbert A-module X. Pimsner constructed a C*-algebra O_X which includes, for particular choices of X, crossed products of A by Z, the Cuntz algebras O_n, and the Cuntz-Krieger algebras O_B. Here we analyse the representations of the corresponding Toeplitz algebra. One consequence is a uniqueness theorem for the Toeplitz-Cuntz-Krieger algebras of directed graphs, which includes Cuntz's uniqueness theorem for O_\infty.
dc.descriptionAMS-LaTeX, 22 pages; originally posted an old version by mistake
dc.identifierhttps://arxiv.org/abs/math/9806093
dc.identifierhttp://arxiv.org/abs/math/9806093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77052
dc.subjectOperator Algebras
dc.subject46L55
dc.titleThe Toeplitz algebra of a Hilbert bimodule
dc.typetext

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