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Irreducible *-representations of some group rings and associated Banach *-algebras

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Publication:1154641
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DOI10.1016/0022-1236(80)90010-5zbMath0465.46051OpenAlexW1987846190MaRDI QIDQ1154641

Ronald S. Irving

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90010-5


zbMATH Keywords

faithful, topologically irreducible *-representationwreath product of two infinite cyclic groups


Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) General theory of (C^*)-algebras (46L05) Extensions, wreath products, and other compositions of groups (20E22) Representations of group algebras (22D20)


Related Items (1)

A property of the complex semigroup algebra of a free monoid



Cites Work

  • Unnamed Item
  • Some more primitive group rings
  • Finite-dimensional, irreducible representations of some crossed products and group rings
  • Some primitive group rings
  • Prime ideals of Ore extensions over commutative rings
  • Group rings of free products are primitive
  • Caractères des algèbres de Banach involutives
  • A Representation for l 1 (S )
  • On the Primitivity of the Group Ring of a Free Group


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