Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Toeplitz algebra of a Hilbert bimodule   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.

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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas