Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compact Group Actions with the Tracial Rokhlin Property   We define a "tracial" analog of the Rokhlin property for actions of second
countable compact groups on infinite dimensional simple separable unital
C*-algebras. We prove that fixed point algebras under such actions (and, in the
appropriate cases, crossed products by such actions) preserve simplicity,
Property (SP), tracial rank zero, tracial rank at most one, the Popa property,
tracial Jiang-Su stability, infiniteness, and pure infiniteness. We also show
that the radius of comparison of the fixed point algebra is no larger than that
of the original algebra.
  Our version of the tracial Rokhlin property is an exact generalization of the
tracial Rokhlin property for actions of finite groups on classifiable
C*-algebras (in the sense of the Elliott program), but for actions of finite
groups on more general C*-algebras it may be stronger. We discuss several
alternative versions of the tracial Rokhlin property. We give examples of
actions of a totally disconnected infinite compact group on a UHF algebra, and
of the circle group on a simple unital AT algebra, which have our version of
the tracial Rokhlin property, but do not have the Rokhlin property, or even
finite Rokhlin dimension with commuting towers.

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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin