Factorization in finite-codimensional ideals of group algebras | NOVA. The University of Newcastle's Digital Repository

Home

Description	Size	Format
Author final version	272 KB	Adobe Acrobat PDF	View/Open

Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/26801

Title: Factorization in finite-codimensional ideals of group algebras
Author/Creator: Willis, George A.
Description: Let G be a σ-compact, locally compact group and I be a closed 2-sided ideal with finite codimension in L¹(G). It is shown that there are a closed left ideal L having a right bounded approximate identity and a closed right ideal R having a left bounded approximate identity such that I = L + R. The proof uses ideas from the theory of boundaries of random walks on groups.
Relation: Proceedings of the London Mathematical Society Vol. 82, p. 676-700
Publisher Link: http://dx.doi.org/10.1112/plms/82.3.676
Date: 2001
Publisher: Oxford University Press
Keyword(s): group algebra; bounded approximate identity; random walk; factorization; automatic continuity
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/26801
Identifier: ISSN:0024-6115

35 Visitors

42 Hits

NOVA. The University of Newcastle's Digital Repository