Some uniformly bounded representations of hyperbolic groups

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• Jan Spakula (University of Southampton)
• Friday 04 July 2025, 14:00-14:30
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TGAW01 - Crossed products and groupoid C*-algebras

We prove that some of the boundary representations of (Gromov) hyperbolic groups are uniformly bounded. One can construct complementary series representations of SL(2,R) from its action on the circle; this work is an attempt to generalise parts of this theory to hyperbolic groups. More concretely: Suppose G is a hyperbolic group, acting geometrically on a (strongly) hyperbolic space X. For this talk, “boundary representations” are linear representations πz of G coming from the action of G on the Gromov boundary Z of X. These are parametrised by a complex parameter z with 0

This talk is part of the Isaac Newton Institute Seminar Series series.

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