Compact operators in type \(III_{\lambda}\) and type \(III_ 0\) factors. I

DOI10.2748/tmj/1178228322zbMath0627.46073OpenAlexW2063068011MaRDI QIDQ1092387

Herbert Halpern, Victor Kaftal

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2748/tmj/1178228322

zbMATH Keywords

crossed productsautomorphismcompact operator idealcanonical normal conditional expectationclosure of the finite rank operatorsessential central range

Mathematics Subject Classification ID

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

Related Items (1)

Spectral projections of \(L^ 1\) operators in type \(III_{\lambda}\) von Neumann algebras

Cites Work

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• Duality for crossed products and the structure of von Neumann algebras of type III
• Compact operators in type III\(_{\lambda}\) and type III\(_0\) factors
• The relative Dixmier property in discrete crossed products
• Sur les homomorphismes d'Harish-Chandra. Avec un appendice de J. Tits
• Essential central spectrum and range for elements of a von Neumann algebra
• Convergence of Fourier Series in Discrete Crossed Products of von Neumann Algebras
• Relative Weak Convergence in Semifinite von Neumann Algebras
• Essential Central Range and Selfadjoint Commutators in Properly Infinite von Neumann Algebras
• Extensions, Restrictions, and Representations of States on C ∗ - Algebras
• Une classification des facteurs de type ${\rm III}$
• Two finite, non‐hyperfinite, non‐isomorphic factors
• Commutators Modulo the Center in a Properly Infinite von Neumann Algebra

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