J Austral Math Soc Ser A 52 pp185--204, 1992.

The Continuity of Derivations from Group Algebras: Factorizable and Connected Groups

George Willis

(Received 1 June 1990)

Abstract

A group is said to be factorizable if it has a finite number of abelian subgroups, H₁, H₂, ..., H_n, such that G = H₁H₂...H_n. It si shown that, if G is a factorizable or connected locally compact group, then every derivation from L¹(G) to an arbitrary L¹(G)-bimodule c is continuous.

1991 AMS Subject Classification: 46H05, 46H10, 43A20

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Authors

George Willis: Mathematics Research Section, School of Mathematical Sciences, Australian National University, GPO Box 4, Canberra ACT 2601, Australia.

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Last Modified: Mon Feb 3 9:46:11 2003