Given a locally compact group G, let J(G){cal J}(G) denote the set of closed left ideals in L 1(G), of the form J μ = [L1(G) * (δ e − μ)]−, where μ is a probability measure on G. Let Jd(G)={cal J}_d(G)= {Jm;m is discrete}{J_{mu};mu {rm is discrete}} , Ja(G)={Jm;m is absolutely continuous}{cal J}_a(G)={J_{mu};mu {rm is absolutely continuous}} . When G is a second countable [SIN] group, we prove that J(G)=Jd(G){cal J}(G)={cal J}_d(G) and that Ja(G){cal J}_a(G) , being a proper subset of J(G){cal J}(G) when G is nondiscrete, contains every maximal element of J(G){cal J}(G) . Some results concerning the ideals J μ in general locally compact second countable groups are also obtained.
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机译：给定一个局部紧致群G，令J（G）{cal J}（G）表示L 1 （G）中形式为J μ = [L 1 （G）*（δ e -μ）] -，其中，μ是对G的概率度量。 J d （G）= {cal J} _d（G）= {J m ; m是离散的} {J_ {mu}; mu {rm是离散的}} ，J a （G）= {J m ; m是绝对连续的} {cal J} _a（G）= {J_ {mu}; mu {rm是绝对的连续}} 。当G是第二个可数的[SIN]组时，我们证明J（G）= J d （G）{cal J}（G）= {cal J} _d（G） a （G）{cal J} _a（G）是J（G）{cal J}（G）的适当子集，当G不离散时，包含J（G）的每个最大元素{cal J}（G）。还获得了有关局部局部紧第二可数群中的理想J μ的一些结果。
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