Simple C~*-Algebras with Unique Tracial States and Quantized Topological Spaces

摘要

Let X be a connected finite CW complex and dx: KO（C（X））→ Z be the dimensionfunction. We show that, if A is a unital separable simple nuclear C*-algebra of TR（A）= 0 with theunique tracial state and satisfying the UCT such that KO （A）= Q kerdx and K1 （A）=K1 （C（X））.then A is isomorphic to an inductive limit of Mn! （C（X））.