TY - JOUR
T1 - Nonfinitely generated closed ideals in group algebras
AU - Atzmon, Aharon
PY - 1972/10
Y1 - 1972/10
N2 - 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].
AB - 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].
UR - http://www.scopus.com/inward/record.url?scp=0011618035&partnerID=8YFLogxK
U2 - 10.1016/0022-1236(72)90093-6
DO - 10.1016/0022-1236(72)90093-6
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AN - SCOPUS:0011618035
SN - 0022-1236
VL - 11
SP - 231
EP - 249
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -