Article contents
Isomorphisms between the second duals of group algebras of locally compact groups
Published online by Cambridge University Press: 24 October 2008
Abstract
Let G be a locally compact group and L1(G) be the group algebra of G. We show that G is abelian or compact if every continuous automorphism of L1(G)** maps L1(G) onto L1(G) This characterizes all groups with this property and answers a question raised by F. Ghahramani and A. T. Lau in [7]. We also show that if G is a compact group and θ is any (algebra) isomorphism from L1(G)** onto L1(H)**, then H is compact and θ maps L1(G) onto L1(H).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 4 , May 1996 , pp. 657 - 663
- Copyright
- Copyright © Cambridge Philosophical Society 1996
References
REFERENCES
- 1
- Cited by