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

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

2006-12-31

arxiv.org/abs/math/0701035v2

Mathematics

Operator Algebras

New version with corrected typos and added references

Scientific paper

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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