Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Rohlin property for automorphisms on simple C*-algebras   We study a general Kishimoto's problem for automorphisms on simple
C*-algebras with tracial rank zero. Let $A$ be a unital separable simple
C*-algebra with tracial rank zero and let $\alpha$ be an automorphism. Under
the assumption that $\alpha$ has certain Rokhlin property, we present a proof
that $A\rtimes_{\alpha}\Z$ has tracial rank zero. We also show that if the
induced map $\alpha_{*0}$ on $K_0(A)$ fixes a "dense" subgroup of $K_0(A)$ then
the tracial Rokhlin property implies a stronger Rokhlin property. Consequently,
the induced crossed product C*-algebras have tracial rank zero.

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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg