Algebra Extensions and Nonsingularity

  title={Algebra Extensions and Nonsingularity},
  author={JOACHIM CUNTZ and Daniel Quillen},
This paper is concerned with a notion of nonsingularity for noncommutative algebras, which arises naturally in connection with cyclic homology. Let us consider associative unital algebras over the complex numbers. We call an algebra A quasi-free, when it behaves like a free algebra with respect to nilpotent extensions in the sense that any homomorphism A -+ Rj [ , where [ is a nilpotent ideal in R, can be lifted to a homomorphism A -+ R. If we restrict to the category of finitely generated… CONTINUE READING



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