# Journal of Operator Theory

Volume 61, Issue 1, Winter 2009 pp. 133-145.

Amenability of the unitary group of the multiplier algebra of a stable AH-algebra**Authors**: Dan Kucerovsky (1), and P.-W. Ng (2)

**Author institution:**(1) Department of Mathematics, UNB-F, Fredericton, NB E3B 5A3 Canada

(2) Mathematics Department, Univ. of Louisiana at Lafayette, 217 Maxim Doucet Hall, P.O. Box 41010, Lafayette, LA 70504-1010 USA

**Summary:**Let $\A$ be a unital AH-algebra, and let $G:=\U(\Mul(\A\otimes\K ))$ be the unitary group of the multiplier algebra of $\A\otimes\K$, given the strict topology. Then $G$ is amenable in the following sense: Every affine continuous action of $G$ on a compact convex set has a fixed point.

Contents Full-Text PDF