Nonfinitely generated closed ideals in group algebras

Aharon Atzmon*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The main result of this paper is that for every locally compact abelian group G, which is not compact, the convolution algebra L1(G) contains a closed ideal which is not finitely generated. This gives a negative solution to the principal ideal problem in group algebras, which has been open for some time [5, p. 352; 6, p. 38] and [8, p. 154].

Original languageEnglish
Pages (from-to)231-249
Number of pages19
JournalJournal of Functional Analysis
Issue number2
StatePublished - Oct 1972


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