Tracial Stability for C*-Algebras
نویسندگان
چکیده
منابع مشابه
Local tracial C*-algebras
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 traci...
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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 traci...
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We give a classification theorem for unital separable simple nuclear C∗-algebras with tracial topological rank zero which satisfy the Universal Coefficient Theorem. We prove that if A and B are two such C∗-algebras and (K0(A),K0(A)+, [1A], K1(A)) = (K0(B), K0(B)+, [1B ], K1(B)), then A = B.
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Let A be a unital separable amenable quasidiagonal simple C∗-algebra with real rank zero, stable rank one, weakly unperforated K0(A) and with a unique tracial state. We show that A must have tracial rank zero. Suppose also that A satisfies the Universal Coefficient Theorem. Then A can be classified by its (ordered) K-theory up to isomorphism. In particular, A must be a simple AH-algebra with no...
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We prove that every positive trace on a countably generated ∗-algebra can be approximated by positive traces on algebras of generic matrices. This implies that every countably generated tracial ∗-algebra can be embedded into a metric ultraproduct of generic matrix algebras. As a particular consequence, every finite von Neumann algebra with separable pre-dual can be embedded into an ultraproduct...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2018
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-018-2430-1