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On amenable and compact groups

โœ Scribed by Gerhard Racher


Publisher
Springer Vienna
Year
1981
Tongue
English
Weight
288 KB
Volume
92
Category
Article
ISSN
0026-9255

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Recent work by various authors has considered the implications of Banach algebra amenability for various algebras defined over locally compact groups, one of the basic tools being the fact that a continuous homomorphic image of an amenable algebra is again amenable. In the present paper we look at t

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We investigate amenable and weakly amenable Banach algebras with compact multiplication. Any amenable Banach algebra with compact multiplication is biprojective. As a consequence, every semisimple such algebra which has the approximation property is a topological direct sum of full matrix algebras.