Trace and differences of idempotents in \(C^\ast\)-algebras

DOI10.1134/S0001434619050018zbMath1441.46038OpenAlexW2953784999MaRDI QIDQ2334902

Airat M. Bikchentaev

Publication date: 8 November 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619050018

zbMATH Keywords

von Neumann algebraHilbert spaceidempotenttraceprojectionlinear operator\(C^\ast\)-algebracommutatortrace-class operatorstripotent

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30)

Related Items (11)

Metrics on projections of the von Neumann algebra associated with tracial functionals ⋮ Inequalities for determinants and characterization of the trace ⋮ Universal decomposition equalities for operator matrices in a Hilbert space ⋮ Invariant subspaces of operators on a Hilbert space ⋮ Differences and commutators of idempotents in \(C^*\)-algebras ⋮ Characterization of tracial functionals on von Neumann algebras ⋮ Rearrangements of tripotents and differences of isometries in semifinite von Neumann algebras ⋮ Trace inequalities for Rickart \(C^{\ast}\)-algebras ⋮ Tripotents in algebras: ideals and commutators ⋮ Characterization of certain traces on von Neumann algebras ⋮ Differences and commutators of projections on a Hilbert space

Cites Work

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• Invertibility of the Difference of Idempotents

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