Structure of type III\(_\lambda\) factors (\(O<\lambda\leq 1\))

DOI10.1007/BF01089758zbMath0462.46042OpenAlexW2911233656MaRDI QIDQ1153323

N. I. Nessonov

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01089758

zbMATH Keywords

tensor productapproximately innergroup of modular automorphismsfaithful normal semifinite weightasymptotic ratio setPowers factortype III-lambda factors

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• Duality for crossed products and the structure of von Neumann algebras of type III
• Almost periodic states and factors of type III\(_1\)
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• Asymptotic ratio set and property \(L_ \lambda^ \prime\)
• On some algebraical properties of operator rings
• Outer conjugacy classes of automorphisms of factors
• Une classification des facteurs de type ${\rm III}$
• On non-singular transformations of a measure space. I

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