Compact operators in type III\(_{\lambda}\) and type III\(_0\) factors

DOI10.1007/BF01451405zbMath0591.46053OpenAlexW2998899426MaRDI QIDQ1074826

Herbert Halpern, Victor Kaftal

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164053

zbMATH Keywords

conditional expectationtrace class operatorssemifinite von Neumann algebrastwo-sided idealhereditary \(C^*\)-subalgebraideals of finite rank and compact operators on a Hilbert spacemodular action of a given weightsemifiniteness of the crossed product of the algebra by thesemifiniteness of the crossed product of the algebra by the modular action of a given weight

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Classifications of (C^*)-algebras (46L35)

Related Items

Spectral projections of \(L^ 1\) operators in type \(III_{\lambda}\) von Neumann algebras ⋮ The relative Dixmier property in discrete crossed products ⋮ Compact operators in type \(III_{\lambda}\) and type \(III_ 0\) factors. I ⋮ Real ideals of compact operators of complex factors

Cites Work

• Spectral projections of \(L^ 1\) operators in type \(III_{\lambda}\) von Neumann algebras
• Fredholm theories in von Neumann algebras. I
• Index theory in von Neumann algebras
• Convergence of Fourier Series in Discrete Crossed Products of von Neumann Algebras
• Relative Weak Convergence in Semifinite von Neumann Algebras
• Une classification des facteurs de type ${\rm III}$
• Abelian subalgebras of von Neumann algebras
• ON A CLASS OF OPERATORS IN VON NEUMANN ALGEBRAS WITH SEGAL MEASURE ON THE PROJECTORS
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