The tracial topological rank of extensions of $C^*$-algebras
نویسندگان
چکیده
منابع مشابه
-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...
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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 (K0(A),K0(A)+, [1A], K1(A), T (A)) ∼= (K0(B), K0(B)+, [1B ], K1(B), T (B)).
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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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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولLocal 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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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2004
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-14433