Lifting of nilpotent contractions

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.

Cited by in corpus (1)

• Topological Insulators and C^*-Algebras: Theory and Numerical Practice