Classification ofC*-Algebras of Real Rank Zero and UnsuspendedE-Equivalence Types
نویسندگان
چکیده
منابع مشابه
Separative Exchange Rings and C * - Algebras with Real Rank Zero
For any (unital) exchange ring R whose finitely generated projective modules satisfy the separative cancellation property (A ⊕ A ∼= A ⊕ B ∼= B ⊕ B =⇒ A ∼= B), it is shown that all invertible square matrices over R can be diagonalized by elementary row and column operations. Consequently, the natural homomorphism GL1(R) → K1(R) is surjective. In combination with a result of Huaxin Lin, it follow...
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In this paper we investigate the extremal richness of the multiplier algebra M(A) and the corona algebra M(A)/A, for a simple C∗-algebra A with real rank zero and stable rank one. We show that the space of extremal quasitraces and the scale of A contain enough information to determine whether M(A)/A is extremally rich. In detail, if the scale is finite, then M(A)/A is extremally rich. In import...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1998
ISSN: 0022-1236
DOI: 10.1006/jfan.1997.3165