Coarse median structures and homomorphisms from Kazhdan groups

DOI10.1007/s10711-015-0090-8zbMath1380.20046arXiv1408.1866OpenAlexW1911785066MaRDI QIDQ2634845

Rudolf Zeidler

Publication date: 10 February 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1866

zbMATH Keywords

property (T)outer automorphism groupcoarse median spaces

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Geometric group theory (20F65) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (5)

Roller boundaries for median spaces and algebras ⋮ Coarse-median preserving automorphisms ⋮ Quasiflats in hierarchically hyperbolic spaces ⋮ Superrigidity of actions on finite rank median spaces ⋮ The Tits alternative for finite rank median spaces

Cites Work

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• Some properties of median metric spaces
• Kazhdan and Haagerup properties from the median viewpoint.
• On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
• Median algebras
• Cubulating small cancellation groups.
• Coarse median spaces and groups.
• Graphs of some CAT(0) complexes
• Embedding median algebras in products of trees.
• Median structures on asymptotic cones and homomorphisms into mapping class groups
• Centroids and the rapid decay property in mapping class groups
• FROM WALL SPACES TO CAT(0) CUBE COMPLEXES
• Invariance of coarse median spaces under relative hyperbolicity

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