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

‎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:
bulletin of the iranian mathematical society

جلد ۴۳، شماره ۱، صفحات ۱۳۷-۱۴۵

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