### Nonstable K-theory for Z-stable C^*-algebras, by Xinhui Jiang

Let Z denote the simple limit of prime dimension drop interval algebras that
has a unique tracial state (constructed earlier by Jiang and Su). In this
paper, we consider unital C^*-algebras that are isomorphic to their tensor
products with Z. We prove that, for such C^*-algebras, the homotopy groups of
their unitary groups are given by K-theory. Moreover, such C^*-algebras have
cancellation for full projections, and satisfy the comparability question for
full projections. Analogous results hold also in the non-unital case.

Xinhui Jiang <jiang@fields.utoronto.ca>