PROJECTIONS, COMMUTATORS AND LIE IDEALS IN <i>C</i>^*-ALGEBRAS

DOI10.3318/PRIA.2010.110.1.31zbMath1279.46041MaRDI QIDQ2837102

Laurent W. Marcoux

Publication date: 10 July 2013

Published in: Mathematical Proceedings of the Royal Irish Academy (Search for Journal in Brave)

zbMATH Keywords

Lie idealscommutatorlinear span of the projections

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Nonassociative selfadjoint operator algebras (46L70)

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Linear maps on *-algebras acting on orthogonal elements like derivations or anti-derivations ⋮ Five Hilbert space problems in operator algebras ⋮ A note on commutator-simple algebras ⋮ Simplicity, bounded normal generation, and automatic continuity of groups of unitaries ⋮ Linear maps which are anti-derivable at zero ⋮ Normal limits of nilpotent operators in von Neumann algebras ⋮ Commutators and linear spans of projections in certain finite \(C^\ast\)-algebras ⋮ COMMUTATORS IN THE JIANG–SU ALGEBRA ⋮ Disjointness preservers of \(AW^\ast\)-algebras ⋮ On closed Lie ideals and center of generalized group algebras ⋮ Ideal \(F\)-norms on \(C^\ast\)-algebras. II ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ Finite sums of projections in purely infinite simple C*-algebras with torsion $K_{0}$ ⋮ CLOSED IDEALS AND LIE IDEALS OF MINIMAL TENSOR PRODUCT OF CERTAIN C*-ALGEBRAS

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