Locally compact groups which have the weakly compact homomorphism property
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- by Volker Runde
- Proc. Amer. Math. Soc. 123 (1995), 3363-3364
- DOI: https://doi.org/10.1090/S0002-9939-1995-1273521-8
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Abstract:
A locally compact group G is WCHP if every weakly compact homomorphism from ${L^1}(G)$ into a Banach algebra has finite-dimensional range, and is ${\text {WCHP}^ + }$ if every extension of G by an abelian group is WCHP. We verify the ${\text {WCHP}^ + }$ property for certain locally compact groups, including all Moore groups and all connected groups.References
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Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3363-3364
- MSC: Primary 22D05; Secondary 22D15, 22D20
- DOI: https://doi.org/10.1090/S0002-9939-1995-1273521-8
- MathSciNet review: 1273521