Some remarks on proper actions, proper metric spaces, and buildings

DOI10.1515/advgeom-2022-0018zbMath1504.54029arXiv2109.12837OpenAlexW3203501472MaRDI QIDQ2087445

Linus K. H. Kramer

Publication date: 21 October 2022

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12837

zbMATH Keywords

simplicial complexproper actionbuildingproper metric space

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Groups with a (BN)-pair; buildings (20E42)

Cites Work

• Uniformly proper actions
• Buildings of spherical type and finite BN-pairs
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Compact totally disconnected Moufang buildings.
• Strongly transitive actions on Euclidean buildings
• Reductive groups over a local field
• Proper actions and proper invariant metrics
• The Structure of Affine Buildings. (AM-168)
• On the classification of Polish metric spaces up to isometry
• Gelfand pairs and strong transitivity for Euclidean buildings
• Transitivity properties for group actions on buildings
• On Geometric Flats in the CAT(0) Realization of Coxeter Groups and Tits Buildings
• Automorphism groups of right-angled buildings: simplicity and local splittings
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