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

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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.
New version with corrected typos and added references

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Operator Algebras, 46L85 46L35

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http://salesiana.dossiersoluciones.com/handle/123456789/137683

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701035
 http://arxiv.org/abs/math/0701035

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arXiv