Nonstable K-theory for Z-stable C*-algebras
Operator Algebras
2009-09-25 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9707228,
title = {Nonstable K-theory for Z-stable C*-algebras},
author = {Xinhui Jiang},
journal= {arXiv preprint arXiv:math/9707228},
year = {2009}
}