Applications of operator spaces to abstract harmonic analysis

Abstract

We give a survey of how the relatively young theory of operator spaces has led to a deeper understanding of the Fourier algebra of a locally compact group (and of related algebras).

44 pages; revised and updates

References in corpus (2)

• Noncommutative vector valued $L_p$-spaces and completely $p$-summing maps
• Amenability and weak amenability of the Fourier algebra