Noncommutative Semialgebraic Sets and Associated Lifting Problems

  title={Noncommutative Semialgebraic Sets and Associated Lifting Problems},
  author={Terry A. Loring and T. L. Magnanti A. Shulman},
We solve a class of lifting problems involving approximate polynomial relations (soft polynomial relations). Various associated C∗-algebras are therefore projective. The technical lemma we need is a new manifestation of Akemann and Pedersen’s discovery of the norm adjusting power of quasi-central approximate units. A projective C∗-algebra is the analog of an absolute retract. Thus we can say that various noncommutative semialgebraic sets turn out to be absolute retracts. In particular we show… CONTINUE READING


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