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math.OA2011
Lifting algebraic contractions in C*-algebras
Terry Loring, Tatiana Shulman
Let p be a polynomial in one variable. It is shown that the universal C*-algebra of the relation p(x)=0, \|x\| \le C is semiprojective, residually finite-dimensional and has trivia…
math.OA2011★ 3 cited
Noncommutative Semialgebraic Sets in Nilpotent Variables
Terry A. Loring, Tatiana Shulman
We solve the lifting problem in C^*-algebras for many sets of relations that include the relations x_j^{N_j} = 0 on each variable. The remaining relations must be of the form \| p(…