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arxiv: math/0701035 · v2 · submitted 2006-12-31 · 🧮 math.OA

Commutative C*-subalgebras of simple stably finite C*-algebras with real rank zero

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keywords unitalembeddingsrankrealsimplezeroalgebraalgebras
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Let X be a path connected, compact metric space and let A be a unital separable simple nuclear Z-stable real rank zero C*-algebra. We classify all the unital *-embeddings (up to approximate unitary equivalence) of C(X) into A. Specifically, we provide an existence and a uniqueness theorem for unital *-embeddings from C(X) into A.

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