Some properties of semifinite tracial subalgebras

DOI10.1080/03081087.2018.1450349zbMath1420.46046OpenAlexW2792167696WikidataQ130123749 ScholiaQ130123749MaRDI QIDQ4631756

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Publication date: 23 April 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2018.1450349

zbMATH Keywords

semifinite von Neumann algebrasubdiagonal algebratracial subalgebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative function spaces (46L52) Linear spaces of operators (47L05)

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Noncommutative Calderón-Lozanovskiĭ-Hardy spaces ⋮ Some logarithmic submajorisations and determinant inequalities for operators with numerical ranges in a sector

Cites Work

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• Characterizations of noncommutative \(H^\infty\)
• Semifinite tracial subalgebras
• Generalized s-numbers of \(\tau\)-measurable operators
• Proof of the conjecture of A. Grothendieck on the Fuglede-Kadison determinant
• Noncommutative Hardy space associated with semi-finite subdiagonal algebras
• Determinant theory in finite factors
• Characterization of subdiagonal algebras
• Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative $H^p$
• Doobs inequality for non-commutative martingales
• Logmodularity and isometries of operator algebras
• Analyticity in Operator Algebras