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Automorphisms of Araki-Woods factors of type \(III_ 1\)

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Publication:794240
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DOI10.1007/BF01061648zbMath0541.46050MaRDI QIDQ794240

Valentin Ya. Golodets

Publication date: 1983

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

crossed productAraki-Woods factorgroup of inner automorphismsAF-factoramenabel countable group of exterior automorphisms


Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)




Cites Work

  • Unnamed Item
  • Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
  • Asymptotic ratio set of von Neumann algebras generated by temperature states in statistical mechanics
  • Homogeneity of the state space of factors of type \(III_1\)
  • The standard form of von Neumann algebras.
  • A classification of factors
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