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Let X be a second countable, path connected, compact metric space and let A be a unital separable simple nuclear 2-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.

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