English

Lifting of nilpotent contractions

Operator Algebras 2014-02-26 v2 Functional Analysis

Abstract

It is proved that that every nilpotent contraction in a quotient C*-algebra can be lifted to a nilpotent contraction. As a consequence we get that the universal C*-algebra generated by a nilpotent contraction is projective. This answers the question posed by T. Loring.

Keywords

Cite

@article{arxiv.0711.2856,
  title  = {Lifting of nilpotent contractions},
  author = {Tatiana Shulman},
  journal= {arXiv preprint arXiv:0711.2856},
  year   = {2014}
}
R2 v1 2026-06-21T09:44:41.926Z