Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cuntz-Krieger algebras and one-sided conjugacy of shifts of finite type
  and their groupoids   A one-sided shift of finite type $(X_A,\sigma_A)$ determines on the one hand
a Cuntz-Krieger algebra $\mathcal{O}_A$ with a distinguished abelian subalgebra
$\mathcal{D}_A$ and a certain completely positive map $\tau_A$ on
$\mathcal{O}_A$. On the other hand, $(X_A,\sigma_A)$ determines a groupoid
$\mathcal{G}_A$ together with a certain homomorphism $\epsilon_A$ on
$\mathcal{G}_A$. We show that this data completely characterizes the one-sided
conjugacy class of $X_A$. This strengthens a result of Cuntz and Krieger. We
also exhibit an example of two irreducible shifts of finite type which are
eventually conjugate but not conjugate. This answers a question of Matsumoto of
whether eventual conjugacy implies conjugacy in the negative.

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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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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: nucl-ex
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The categories of this paper are: bayes-an