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arXiv · 2011.03211

Invariant Integrals on Topological Groups

Vasco Schiavo
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Abstract

We generalize the fixed-point property for discrete groups acting on convex cones given by Monod in \cite{monod} to topological groups. At first, we focus on describing this fixed-point property from a functional point of view, and then we look at the class of groups that have it. Finally, we go through some applications of this fixed-point property. To accomplish these tasks, we introduce a new class of normed Riesz spaces that depend on group representation.

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Vasco Schiavo. 2020-11-06. Invariant Integrals on Topological Groups. https://arxiv.org/abs/2011.03211

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