Positive definite maps on amenable groups
Mika\"el Pichot, Erik S\'eguin

TL;DR
This paper characterizes amenability of groups using positive definite functions valued in a von Neumann algebra, providing new insights into the structure of amenable groups.
Contribution
It introduces conditions linking amenability to positive definite functions with values in von Neumann algebras, a novel approach in the field.
Findings
Characterization of amenability via positive definite functions
Conditions involving von Neumann algebra-valued functions
New criteria for identifying amenable groups
Abstract
We describe conditions that characterize amenability for groups in terms of positive definite functions valued in a von Neumann algebra.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Advanced Algebra and Logic
