manuscripta mathematica

, Volume 30, Issue 3, pp 215–221 | Cite as

Polynomial growth and ideals in group algebras

  • Jean Ludwig
Article

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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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Jean Ludwig
    • 1
  1. 1.Fakultät für MathematikUniversität BielefeldBielefeld 1

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