Group actions on median spaces

Abstract

We investigate the geometry of median metric spaces. The group-theoretic applications are towards Kazhdan's property (T) and Haagerup's property.

21 pages. Revision of work submitted as a Master's thesis at McGill University in 2004. Comments are welcome

References in corpus (5)

• Cubulating spaces with walls
• Isometric group actions on Banach spaces and representations vanishing at infinity
• Mapping Class Groups do not have Kazhdan's Property (T)
• Group actions and Helly's theorem
• Kazhdan and Haagerup properties from the median viewpoint

Cited by in corpus (5)

• Median structures on asymptotic cones and homomorphisms into mapping class groups
• Group actions with commensurated subsets, wallings and cubings
• The Tits alternative for finite rank median spaces
• Superrigidity of actions on finite rank median spaces
• Coarse median structures and homomorphisms from Kazhdan groups