On the contractibility to a point of the linear groups of reflexive non-commutative Lp-spaces

DOI10.1017/S0305004100074405zbMath0866.46041OpenAlexW1975874124WikidataQ56268846 ScholiaQ56268846MaRDI QIDQ4877681

S. V. Ferleger, Pheodor A. Sukochev

Publication date: 20 October 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100074405

zbMATH Keywords

von Neumann algebratracehyperfinite factorscontractibility to a point*-isomorphiceigenvectors of representationsselfadjoint multiplicative trace preserving

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Geometry and structure of normed linear spaces (46B20) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Classifications of (C^*)-algebras (46L35)

Related Items (5)

Ruc-decompositions in symmetric operator spaces ⋮ Vilenkin systems and generalized triangular truncation operator ⋮ Noncommutative stochastic integration through decoupling ⋮ Contractibility of the linear group in Banach spaces of measurable operators ⋮ Optimal estimates for martingale transforms

Cites Work

• Unnamed Item
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Generalized analyticity in UMD spaces
• Extreme points of convex fully symmetric sets of measurable operators
• Generalized s-numbers of \(\tau\)-measurable operators
• The homotopy type of the unitary group of Hilbert space
• Der Homotopietyp der Automorphismengruppe in den Räumen \(l_ p\) und \(c_ 0\)

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