Local tracial C*-algebras

نویسندگان

  • J. Yang Department of Mathematics‎, ‎Shanghai Maritime University‎, ‎Shanghai 200135‎, ‎China.
  • Q. Fan Department of Mathematics‎, ‎Shanghai Maritime University‎, ‎Shanghai 200135‎, ‎China.
چکیده مقاله:

‎Let $Omega$ be a class of unital‎ ‎$C^*$-algebras‎. ‎We introduce the notion of a local tracial $Omega$-algebra‎. ‎Let $A$ be an $alpha$-simple unital local tracial $Omega$-algebra‎. ‎Suppose that $alpha:Gto $Aut($A$) is an action of a finite group $G$ on $A$‎ ‎which has a certain non-simple tracial Rokhlin property‎. ‎Then the crossed product algebra‎ ‎$C^*(G,A,alpha)$ is a unital local tracial $Omega$-algebra.

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عنوان ژورنال

دوره 43  شماره 1

صفحات  137- 145

تاریخ انتشار 2017-02-22

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