The Toeplitz algebra of a Hilbert bimodule

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Suppose 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.
AMS-LaTeX, 22 pages; originally posted an old version by mistake

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Operator Algebras, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/77052

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9806093
 http://arxiv.org/abs/math/9806093

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arXiv