- Title
- Factorization in finite-codimensional ideals of group algebras
- Creator
- Willis, George A.
- Relation
- Proceedings of the London Mathematical Society Vol. 82, p. 676-700
- Publisher Link
- http://dx.doi.org/10.1112/plms/82.3.676
- Publisher
- Oxford University Press
- Resource Type
- journal article
- Date
- 2001
- 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.
- Subject
- group algebra; bounded approximate identity; random walk; factorization; automatic continuity
- Identifier
- http://hdl.handle.net/1959.13/26801
- Identifier
- uon:1138
- Identifier
- ISSN:0024-6115
- Language
- eng
- Full Text
- Reviewed
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