Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-30T23:58:07.687Z Has data issue: false hasContentIssue false
  • English
  • Français

ON AMENABILITY AND GEOMETRY OF SPACES OF BOUNDED REPRESENTATIONS

Published online by Cambridge University Press:  01 February 1999

GUSTAVO CORACH  and
JOSÉ E. GALÉ
GUSTAVO CORACH
Affiliation:
Instituto Argentino de Matemática, Saavedra 15, 1083 Buenos Aires, Argentina
JOSÉ E. GALÉ
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
Get access

Abstract

Several differential geometric aspects of the space of representations of amenable Banach algebras are studied: differential structure, natural connection, geodesics, reductive structure, and so on. As an application we get a characterisation of amenable groups in terms of the existence of a reductive structure in that space.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 311 - 329
Copyright
The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)