Commutative ${C}^*$-subalgebras of simple stably finite ${C}^*$-algebras with real rank zero
نویسندگان
چکیده
منابع مشابه
Commutative C-subalgebras of Simple Stably Finite C-algebras with Real Rank Zero
Let X be a second countable, path connected, compact metric space and let A be a unital separable simple exact Z-stable real rank zero C∗-algebra. We classify all the embeddings (up to approximate unitary equivalence) of C(X) into A. Specifically, we prove the following: Theorem: Let α ∈ KL(C(X), A)+,1 and let λ : T (A) → T (C(X)) be an affine continuous map such that (i) if h ∈ Aff(T (C(X))) i...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2008
ISSN: 0022-2518
DOI: 10.1512/iumj.2008.57.3415