A Note on Topological Amenability

2010/04/02 by Nicolas Monod, N. Monod
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Bounded function #Characterization (materials science) #Cohomology #Connection (principal bundle) #Injective function #Simple (philosophy) #Topology (electrical circuits) #math.GR

paper · pdf · doi:10.1093/imrn/rnq238

published as IMRN 2011:17 (2011), 3872--3884

arxiv created 2010/04/02 · openalex publication_date 2010/10/27 · arxiv updated 2012/07/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

A simple characterization of topological amenability in terms of bounded cohomology is proved, following Johnson’s formulation of amenability. The connection to injective Banach modules is established.

Citations

• Absolute and Unconditional Convergence in Normed Linear Spaces
• On the cohomology of operator algebras
• Concrete Representation of Abstract (M)-Spaces (A characterization of the Space of Continuous Functions)
• Concrete Representation of Abstract (L)-Spaces and the Mean Ergodic Theorem