A Survey of Amenability Theory for Direct-Limit Groups
Matthew Dawson, Gestur \'Olafsson
TL;DR
This survey reviews amenability theory focusing on its applications to harmonic analysis on direct-limit groups, highlighting recent developments and key results in this area.
Contribution
It provides a comprehensive overview of amenability theory specifically tailored to direct-limit groups, emphasizing new insights and applications.
Findings
Summarizes key results in amenability for direct-limit groups
Highlights applications to harmonic analysis
Identifies open problems and future directions
Abstract
We survey results from amenability theory with an emphasis on applications to harmonic analysis on direct-limit groups.
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