On the linear span of the projections in certain simple C*-algebras

DOI10.1512/iumj.2002.51.2123zbMath1034.46051OpenAlexW2026770440MaRDI QIDQ4431114

Laurent W. Marcoux

Publication date: 13 October 2003

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2002.51.2123

zbMATH Keywords

projectioncommutatormatrix decompositionnilpotentsimple \(C^{*}\)-algebraBunce-Deddens algebrasirrational rotation algebrassimple unital AF-algebrasunital simple infinite algebras

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) General theory of (C^*)-algebras (46L05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (14)

Linear combinations of projections in type III factors ⋮ Automatic continuity of biorthogonality preservers between compact \(C^*\)-algebras and von Neumann algebras ⋮ Projections and proper infiniteness for corona algebras ⋮ Decompositions of matrices by using commutators ⋮ Positive combinations of projections in von Neumann algebras and purely infinite simple \(C^*\)-algebras ⋮ Linear maps which are anti-derivable at zero ⋮ Unnamed Item ⋮ Commutators and linear spans of projections in certain finite \(C^\ast\)-algebras ⋮ On mappings preserving the sharp and star orders ⋮ Positive combinations and sums of projections in purely infinite simple 𝐶*-algebras and their multiplier algebras ⋮ Disjointness preservers of \(AW^\ast\)-algebras ⋮ Strong sums of projections in type II factors ⋮ Finite sums of projections in von Neumann algebras ⋮ Properly infinite corona algebras

This page was built for publication: On the linear span of the projections in certain simple C*-algebras