The classification of simple separable unital Z-stable locally ASH algebras

摘要

Let A be a unital simple separable locally approximately sub homogeneous C*-algebra (locally ASH algebra). It is shown that A circle times Q can be tracially approximated by unital Elliott Thomsen algebras with trivial Ki-group, where Q is the universal UHF algebra. In particular, it follows that A is classifiable by the Elliott invariant if A is Jiang Su stable. Published by Elsevier Inc.