arXiv · math/0701035
Commutative C*-subalgebras of simple stably finite C*-algebras with real rank zero
Abstract
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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P. W. Ng, Wilhelm Winter. 2007-09-11. Commutative C*-subalgebras of simple stably finite C*-algebras with real rank zero. https://arxiv.org/abs/math/0701035
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