The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension

[摘要] The class of simple separable KK-contractible (KK-equivalent to {0}) C*-algebra s which have finite nuclear dimension is shown to be classified by the Elliott invariant. In particular, the class of C*-algebra s A circle times W is classifiable, where A is a simple separable C*-algebra with finite nuclear dimension and W is the simple inductive limit of Razak algebras with unique trace, which is bounded (see Razak (2002) and Jacelon (2013)). (C) 2020 Elsevier B.V. All rights reserved.

[发布日期] 2020-12-01