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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Weakly compact homomorphisms from group algebras


Author: B. E. Johnson
Journal: Proc. Amer. Math. Soc. 119 (1993), 1249-1258
MSC: Primary 43A22; Secondary 22D05, 46H05
MathSciNet review: 1158001
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Abstract: A locally compact group $ G$ has the weakly compact homomorphism property if every weakly compact homomorphism from the group algebra $ {L^1}(G)$ into another Banach algebra $ \mathfrak{B}$ has finite-dimensional range. It has been shown that compact and abelian groups have this property. We extend this to a large class of groups including all solvable groups.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1158001-0
PII: S 0002-9939(1993)1158001-0
Article copyright: © Copyright 1993 American Mathematical Society