manuscripta mathematica

, Volume 30, Issue 3, pp 215–221

Polynomial growth and ideals in group algebras

Authors

  • Jean Ludwig
    • Fakultät für MathematikUniversität Bielefeld
Article

DOI: 10.1007/BF01303328

Cite this article as:
Ludwig, J. Manuscripta Math (1979) 30: 215. doi:10.1007/BF01303328

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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© Springer-Verlag 1980