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On the closed Lie ideals of certain \(C^*\)-algebras

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Publication:1898017
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DOI10.1007/BF01203386zbMath0828.46053MaRDI QIDQ1898017

Laurent W. Marcoux

Publication date: 11 January 1996

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)


zbMATH Keywords

tensor productclosed Lie ideals of a uniformly hyperfinite \(C^*\)-algebra


Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) Nonassociative selfadjoint operator algebras (46L70)


Related Items

Lie ideals: from pure algebra to C*-algebras, Decomposability of finite rank operators in Lie ideals of nest algebras, On closed Lie ideals and center of generalized group algebras, Banach Lie algebras with Lie subalgebras of finite codimension: their invariant subspaces and Lie ideals, Lie ideals in triangular operator algebras



Cites Work

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  • The center of approximately finite-dimensional \(C^*\)-algebras
  • Structure of commutators of operators
  • Unitary operators in \(C^ *\)-algebras
  • On some \(C^ *\)-algebras considered by Glimm
  • Lie Ideals in Associative Algebras
  • Lie and Jordan Ideals of Operators on Hilbert Space
  • Inductive Limits of Finite Dimensional C ∗ -Algebras
  • On the Lie and Jordan Rings of a Simple Associative Ring
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