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Some Permanence properties for crossed products by compact group actions with the tracial Rokhlin property
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abstract
In this paper, we give some properties of the fixed point algebra and the crossed product of a unital separable simple infinite dimensional C*-algebra by an action of a second-countable compact group with the tracial Rokhlin property with comparison that could be deduced from the properties of its original algebra: (1) stable rank one; (2) real rank zero; (3) $\beta$-comparison; (4) Winter's $n$-comparison; (5) $m$-almost divisible; (6) weakly ($m$,$n$)-divisible.
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Cited by 1 Pith paper
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Uniform property $\Gamma$ for Crossed products by group actions with the Rokhlin-type properties
Finite group actions with the weak tracial Rokhlin property and compact group actions with the tracial Rokhlin property with comparison preserve uniform property Gamma in crossed products and fixed-point algebras.
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