Boundary unitary representations -- right-angled hyperbolic buildings

DOI10.3934/jmd.2016.10.413zbMath1406.22004arXiv1506.06290OpenAlexW2964337683MaRDI QIDQ317009

Uri Bader, Jan Dymara

Publication date: 30 September 2016

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06290

zbMATH Keywords

unitary representationHecke algebrahyperbolic building

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Unitary representations of locally compact groups (22D10) Groups with a (BN)-pair; buildings (20E42)

Related Items (2)

Boundaries of dense subgroups of totally disconnected groups ⋮ Some spherical functions on hyperbolic groups

Cites Work

• Cocompact lattices in complete Kac-Moody groups with Weyl group right-angled or a free product of spherical special subgroups.
• Boundary unitary representations -- irreducibility and rigidity
• Hecke algebra isomorphisms for GL(n) over a p-adic field
• Elements of asymptotic geometry
• Factoriality of Hecke-von Neumann algebras of right-angled Coxeter groups
• Representations of Coxeter groups and Hecke algebras
• Some irreducible unitary representations of G(K) for a simple algebraic group \(G\) over an algebraic number field \(K\)
• Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras
• Topological groups of Kac-Moody type, right-angled twinnings and their lattices.
• Thin buildings.
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Harmonic analysis for anisotropic random walks on homogeneous trees
• Analogs of principal series representations for Thompson's groups $F$ and $T$
• Boundaries of right-angled hyperbolic buildings
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