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Factorization in finite-codimensional ideals of group algebras

Willis, George A. (2001) Factorization in finite-codimensional ideals of group algebras. Proceedings of the London Mathematical Society, 82 .

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Abstract

Let G be a �-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.

Item Type: Article
Uncontrolled Keywords: group algebra, bounded approximate identity, random walk, factorization, automatic continuity
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Dr David Allingham
Date Deposited: 28 Sep 2012 12:05
Last Modified: 28 Sep 2012 12:05
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1191

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