Fixed point property for a CAT(0) space which admits a proper cocompact group action

DOI10.2996/kmj/1458651696zbMath1348.53051arXiv1102.0729OpenAlexW2963768527MaRDI QIDQ291004

Tetsu Toyoda

Publication date: 6 June 2016

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0729

zbMATH Keywords

fixed pointCAT(0) spacenonlinear spectral gap

Mathematics Subject Classification ID

Geometric group theory (20F65) Metric geometry (51F99) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Probabilistic methods in group theory (20P05)

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Random groups have fixed points on $\mathrm{CAT}(0)$ cube complexes ⋮ CAT(0) spaces and expanders. ⋮ Nonpositive curvature is not coarsely universal

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