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

DOI10.1007/BF01195807zbMath0606.46037OpenAlexW2914049435MaRDI QIDQ1084630

Richard Mercer, Victor Kaftal

Publication date: 1986

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195807

zbMATH Keywords

spectral projectioncrossed productcanonical decompositioninvariant subalgebraalgebra of \(\tau \)-measurable operatorswandering projection

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Classifications of (C^*)-algebras (46L35) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Compact operators in type \(III_{\lambda}\) and type \(III_ 0\) factors. I
• A non-commutative extension of abstract integration

This page was built for publication: Spectral projections of \(L^ 1\) operators in type \(III_{\lambda}\) von Neumann algebras