K-amenability of HNN extensions of amenable discrete quantum groups
Pierre Fima (IMJ)
TL;DR
This paper constructs HNN extensions of discrete quantum groups, explores their representation theory, and demonstrates that such extensions of amenable groups are K-amenable, advancing understanding in quantum group theory.
Contribution
It introduces the construction of HNN extensions for discrete quantum groups and proves their K-amenability when starting from amenable groups.
Findings
HNN extensions of amenable discrete quantum groups are K-amenable
Representation theory of these extensions is characterized
Provides new tools for quantum group analysis
Abstract
We construct the HNN extension of discrete quantum groups, we study their representation theory and we show that an HNN extension of amenable discrete quantum groups is K-amenable.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Geometric and Algebraic Topology