منابع مشابه
Tracial Algebras and an Embedding Theorem
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...
متن کاملLocal 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...
متن کاملlocal 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...
متن کامل-algebras of Tracial Topological Rank One *
We give a classification theorem for unital separable nuclear simple C∗-algebras with tracial rank no more than one. Let A and B be two unital separable simple nuclear C∗-algebras with TR(A), TR(B) ≤ 1 which satisfy the universal coefficient theorem. We show that A ∼= B if and only if there is an order and unit preserving isomorphism γ = (γ0, γ1, γ2) : (K0(A),K0(A)+, [1A],K1(A), T (A)) ∼= (K0(B...
متن کاملA Tracial Quantum Central Limit Theorem
We prove a central limit theorem for non-commutative random variables in a von Neumann algebra with a tracial state: Any non-commutative polynomial of averages of i.i.d. samples converges to a classical limit. The proof is based on a central limit theorem for ordered joint distributions together with a commutator estimate related to the Baker-Campbell-Hausdorff expansion. The result can be cons...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2010
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2010.08.010