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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
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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

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