Khayyam Journal of Mathematics

Khayyam Journal of Mathematics

Invariant Means on CHART Groups

Author
Department of Mathematics, The University of Auckland, Pr ivate Bag 92019, Auckland, New Zealand.
Abstract
The purpose of this paper is to give a stream-lined proof of the existence and uniqueness of a right-invariant mean on a CHART group. A CHART group is a slight generalisation of a compact topological group. The existence of an invariant mean on a CHART group can be used to prove Furstenberg's fixed point theorem.
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