Lifting of nilpotent contractions
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nilpotentcontractionalgebraanswersconsequencecontractionseverygenerated
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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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