Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Cuntz semigroup and the radius of comparison of the crossed product
  by a finite group   Let G be a finite group, let A be an infinite-dimensional stably finite
simple unital C*-algebra, and let \alpha \colon G \to Aut (A) be an action of G
on A which has the weak tracial Rokhlin property. Let A^{\alpha} be the fixed
point algebra. Then the radius of comparison satisfies rc (A^{\alpha}) \leq rc
(A) and rc ( C* (G, A, \alpha) ) \leq ( 1 / card (G) ) rc (A). The inclusion of
A^{\alpha} in A induces an isomorphism from the purely positive part of the
Cuntz semigroup Cu (A^{\alpha}) to the fixed points of the purely positive part
of Cu (A), and the purely positive part of Cu ( C* (G, A, \alpha) ) is
isomorphic to this semigroup. We construct an example in which G is the two
element group, A is a simple unital AH algebra, \alpha has the Rokhlin
property, rc (A) > 0, rc (A^{\alpha}) = rc (A), and rc (C* (G, A, \alpha)) =
(1/2) rc (A).

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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph