Non-singly-generated closed ideals in group algebras

A. Atzmon

doi:10.1007/BF02788863

Non-singly-generated closed ideals in group algebras

A. Atzmon

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the problem whether every closed ideal in the group algebras A(G) is generated by a single function. For the algebras A_r(Rⁿ), n≧6, we give a negative solution. We also obtain some negative results for general locally compact abelian groups.

Original language	English
Pages (from-to)	303-310
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/BF02788863
State	Published - Mar 1969

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abstract = "We investigate the problem whether every closed ideal in the group algebras A(G) is generated by a single function. For the algebras Ar(Rn), n≧6, we give a negative solution. We also obtain some negative results for general locally compact abelian groups.",

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Non-singly-generated closed ideals in group algebras

Abstract

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