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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.

References [Enhancements On Off] (What's this?)

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