Abstract
Let G be a locally compact group with polynomial growth and symmetric group algebra L1 (G). To every closed subset C of Prim* (L1(G)), there exists a smallest twosided closed ideal j (C) in L1(G), whose hull is equal to C. If H is a closed normal subgroup of G, then H1 is a set of synthesis in Prim* (L1(G)).
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Ludwig, J. Polynomial growth and ideals in group algebras. Manuscripta Math 30, 215–221 (1979). https://doi.org/10.1007/BF01303328
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DOI: https://doi.org/10.1007/BF01303328