%0 Journal Article
%T Nonstable K-theory for Z-stable C*-algebras
%A Xinhui Jiang
%J Mathematics
%D 1997
%I arXiv
%X Let Z denote the simple limit of prime dimension drop algebras that has a unique tracial state. Let A != 0 be a unital C^*-algebra with A = A tensor Z. Then the homotopy groups of the group U(A) of unitaries in A are stable invariants, namely, \pi_i(U(A)) = K_{i-1}(A) for all integers i >= 0. Furthermore, A has cancellation for full projections, and satisfies the comparability question for full projections. Analogous results hold for non-unital Z-stable C^*-algebras.
%U http://arxiv.org/abs/math/9707228v1