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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/926563

Title: Closed ideal structure and cohomological properties of certain radical Banach algebras
Author/Creator: Ghahramani, F.; Read, C. J.; Willis, G. A.
Institution: The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
Description: We further the study of a class of singly generated radical Banach algebras (sometimes called LRRW (Loy, Read, Runde and Willis) algebras after the four authors involved in the original paper) that have compact multiplication and are weakly amenable. First, we characterize the closed ideal structure of these algebras. The closed ideals of an LRRW algebra are identified, and the lattice of closed ideals is shown to be isomorphic to the unit interval. Then we show that LRRW algebras are not approximately amenable and have global homological dimension greater than 1. Furthermore, epimorphisms onto these algebras and derivations from them are continuous.
Relation: Proceedings of the London Mathematical Society Vol. 100, Issue 2, p. 533-559
Publisher Link: http://dx.doi.org/10.1112/plms/pdp038
Date: 2010
Publisher: London Mathematical Society
Keyword(s): Banach algebras; LRRW algebras; compact multiplication; epimorphisms
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/926563
Identifier: ISSN:0024-6115

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