Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tracially Z-absorbing C*-algebras   We study a tracial notion of Z-absorption for simple, unital C*-algebras. We
show that if A is a C*-algebra for which this property holds then A has almost
unperforated Cuntz semigroup, and if in addition A is nuclear and separable we
show this property is equivalent to having A being Z-absorbing. We furthermore
show that this property is preserved under forming certain crossed products by
actions satisfying a tracial Rokhlin type property.

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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn