Journal of Operator Theory

Volume 65, Issue 2, Spring 2011 pp. 419-426.

Residually AF embeddable

$C^*$ -algebras

Authors: Marius Dadarlat (1) and Valentin Deaconu (2)
Author institution: (1) Department of Mathematics, Purdue University, West Lafayette IN 47907, U.S.A.
(2) Department of Mathematics and Statistics, University of Nevada, Reno NV 89557-0084, U.S.A.

Summary: Suppose that a separable exact

$C^*$ -algebra

$A$ is KK-equivalent to a commutative

$C^*$ -algebra and that

$A$ has a separating sequence of unital

$*$ -homomorphisms into simple AF-algebras. Under these conditions we show that

$A$ embeds unitally in a simple AF-algebra. We apply this result to a class of amenable groups.

Contents Full-Text PDF