Title of article :
Local tracial C*-algebras
Author/Authors :
-، - نويسنده Department of Mathematics,
Shanghai Maritime University, Shanghai 200135, China. Yang, J. , -، - نويسنده Department of Mathematics,
Shanghai Maritime University, Shanghai 200135, China. Fan, Q.
Issue Information :
دوماهنامه با شماره پیاپی 0 سال 2017
Abstract :
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.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society