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 (3)

• Mapping Class Groups do not have Kazhdan's Property (T)
• Group actions and Helly's theorem
• Kazhdan and Haagerup properties from the median viewpoint