论文标题

通过与Tracial Rokhlin属性紧凑的团体动作,交叉产品的某些永久性特性

Some Permanence properties for crossed products by compact group actions with the tracial Rokhlin property

论文作者

Tian, Haotian, Fang, Xiaochun

论文摘要

在本文中,我们通过第二个可分离的无限无限尺寸c* - 代数的固定点代数和交叉产物,通过第二个可容纳的紧凑型组的作用与奇特的rokhlin属性的作用,可与奇特的属性相比,可以从其原始代数的特性中进行分配。 (2)实际等级零; (3)$β$ - 比较; (4)冬季的$ n $ - 比较; (5)$ m $ - 几乎可以分开; (6)弱($ m $,$ n $) - 可分开。

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) $β$-comparison; (4) Winter's $n$-comparison; (5) $m$-almost divisible; (6) weakly ($m$,$n$)-divisible.

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