From the 1 of 8 linked papers with an AI index.
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Ascending chains of irreducible lattices, bi-reversible automata and affine arithmetic groups
Pierre-Emmanuel Caprace, Justin Vast
The paper constructs infinite ascending chains of irreducible lattices in products of homogeneous trees and defines bi‑reversible automata whose associated groups have prescribed f…
On the Howe--Moore property for automorphism groups of buildings
Andreas Thom, Pierre-Emmanuel Caprace
Let be a closed type-preserving subgroup of the automorphism group of a thick locally finite building of finite rank, and assume that acts Weyl-transitively. We prove t…
Fractal anti-tori
Pierre-Emmanuel Caprace, Justin Vast
Let be a group acting properly and cocompactly on the product of two trees and . An anti-torus is a non-periodic flat plane in that is the convex h…
Center-preserving irreducible representations of finite groups
Pierre-Emmanuel Caprace, Geoffrey Janssens, François Thilmany
Given finite groups , a representation of is called center-preserving on if the only elements of that become central under are those that were alrea…
Lattice envelopes of right-angled Artin groups
Pierre-Emmanuel Caprace, Tom De Medts
Let be a finite simplicial graph with at least two vertices, and let be the associated right-angled Artin group. We describe a locally compact group conta…
Hyperbolic actions of higher-rank lattices come from rank-one factors
Uri Bader, Pierre-Emmanuel Caprace, Alex Furman +1
We study actions of higher rank lattices on hyperbolic spaces, and we show that all such actions satisfying mild properties come from the rank-one factors of . In particu…