English

On the Lie ideals of C*-algebras

Operator Algebras 2015-09-25 v3

Abstract

Various questions on Lie ideals of C*-algebras are investigated. They fall roughly under the following topics: relation of Lie ideals to closed two-sided ideals; Lie ideals spanned by special classes of elements such as commutators, nilpotents, and the range of polynomials; characterization of Lie ideals as similarity invariant subspaces.

Keywords

Cite

@article{arxiv.1505.04503,
  title  = {On the Lie ideals of C*-algebras},
  author = {Leonel Robert},
  journal= {arXiv preprint arXiv:1505.04503},
  year   = {2015}
}

Comments

Added some new results; expanded proofs