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On representations of non-type I groups

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Publication:1134829
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DOI10.2748/TMJ/1178229834zbMath0424.22007OpenAlexW2047687099MaRDI QIDQ1134829

Shunsuke Funakosi

Publication date: 1979

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229834


zbMATH Keywords

dynamical systemsergodicMautner groupstype II and type III factor representation of non-type I groups


Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10)





Cites Work

  • Unnamed Item
  • Duality for crossed products and the structure of von Neumann algebras of type III
  • Type I \(C^ *\)-algebras
  • Transformation groups and \(C^ *\)-algebras
  • Algèbres quasi-unitaires
  • Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
  • Borel Structure in Groups and Their Duals
  • Borel structure in topological $*$-algebras and their duals
  • Unitary representations of solvable Lie groups
  • Locally Compact Transformation Groups




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