Weak amenability and simply connected Lie groups

Abstract

Following an approach of Ozawa, we show that several semidirect products are not weakly amenable. As a consequence, we are able to characterize the simply connected Lie groups that are weakly amenable.

9 pages. Comments welcome

References in corpus (5)

• Group C*-algebras without the completely bounded approximation property
• Simple Lie groups without the Approximation Property II
• On a class of ${\mathrm{II}}_1$ factors with at most one Cartan subalgebra
• A complete characterization of connected Lie groups with the Approximation Property
• Kazhdan and Haagerup Properties in algebraic groups over local fields

Cited by in corpus (1)

• Weak amenability of Lie groups made discrete