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FIXED POINT CHARACTERISATION FOR EXACT AND AMENABLE ACTION

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  16 June 2015

Z. DONG  and
Y. Y. WANG
Z. DONG
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China email [email protected]
Y. Y. WANG*
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China email [email protected]
*
✉[email protected]
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Abstract

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Let $G$ be a finitely generated group acting on a compact Hausdorff space ${\mathcal{X}}$. We give a fixed point characterisation for the action being amenable. As a corollary, we obtain a fixed point characterisation for the exactness of $G$.

Keywords

amenable actionfixed pointexactness

MSC classification

Primary: 20F65: Geometric group theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 228 - 232
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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