P. Caprace

activity

20052026

most citedRank rigidity for CAT(0) cube complexes

161 citations · 918 across the 69 of their papers we have counts for

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Showing 2018 · math.GRShow all

4 papers · 2 filters

math.GR2018

A radius 1 irreducibility criterion for lattices in products of trees

Pierre-Emmanuel Caprace

Let $T_{1}, T_{2}$ be regular trees of degrees $d_{1}, d_{2} \geq 3$ . Let also $Γ \leq Aut (T_{1}) \times Aut (T_{2})$ be a group acting freely and transitively on $VT_1 \times…

math.GR2018

Groups with irreducibly unfaithful subsets for unitary representations

Pierre-Emmanuel Caprace, Pierre de la Harpe

Let $G$ be a group. A subset $F \subset G$ is called irreducibly faithful if there exists an irreducible unitary representation $π$ of $G$ such that $π (x) \neq = id$ for all…

math.GR2018★ 4 cited

Bounding the covolume of lattices in products

Pierre-Emmanuel Caprace, Adrien Le Boudec

We study lattices in a product $G = G_{1} \times \dots \times G_{n}$ of non-discrete, compactly generated, totally disconnected locally compact (tdlc) groups. We assume that each facto…

math.GR2018★ 1 cited

Future directions in locally compact groups

Pierre-Emmanuel Caprace, Nicolas Monod

This text is the preprint version of the concluding chapter for the book New Directions in Locally Compact Groups published by Cambridge University Press in the series Lecture Note…