Lifting of nilpotent contractions

Details Lifting of nilpotent contractions Lifting of nilpotent contractions

2007-11-19

arxiv.org/abs/0711.2856v2

Bulletin of the London Math. Soc. 2008 40(6),1002-1006

Mathematics

Operator Algebras

Scientific paper

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.

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