Amenable crossed product Banach algebras associated with a class of C*-dynamical systems

Author(s):
Jeu, M.F.E. de (0000-0002-7295-8969); Elharti, R.; Pinto, P.R.
Published
2017
Publication type
Article / Letter to editor

Abstract

We prove that the crossed product Banach algebra ℓ1(G,A;α) that is associated with a C∗-dynamical system (A,G,α) is amenable if G is a discrete amenable group and A is a commutative or finite dimensional C∗-algebra. Perspectives for further developments are indicated.

Crossed product Banach algebraC^*-dynamical systemAmenable Banach algebraAmenable group
Date issued
2017-02-11
Language
English
Is part of
Integral Equations and Operator Theory (2017), Vol. 87, no. 2, p. 169-178
hdl
1887/57691
doi
10.1007/s00020-017-2345-2