摘要
Let X be a connected finite CW complex and d_x: K_O(C(X))→ Z be the dimension function. We show that, if A is a unital separable simple nuclear C~*-algebra of TR(A)= 0 with the unique tracial state and satisfying the UCT such that K_O (A)= Q kerd_x and K_1 (A)=K_1 (C(X)). then A is isomorphic to an inductive limit of M_n! (C(X)).
Let X be a connected finite CW complex and d_x: K_O(C(X))→ Z be the dimension function. We show that, if A is a unital separable simple nuclear C~*-algebra of TR(A)= 0 with the unique tracial state and satisfying the UCT such that K_O (A)= Q kerd_x and K_1 (A)=K_1 (C(X)). then A is isomorphic to an inductive limit of M_n! (C(X)).
基金
Research partially supported by NSF Grants DMS 9801482
