Moduli Space and Structure of Noncommutative 3-spheres

@inproceedings{Connes2003ModuliSA,
  title={Moduli Space and Structure of Noncommutative 3-spheres},
  author={Alain Connes and Michel DUBOIS-VIOLETTE},
  year={2003}
}
We analyse the moduli space and the structure of noncommutative 3-spheres. We develop the notion of central quadratic form for quadratic algebras, and prove a general algebraic result which considerably refines the classical homomorphism from a quadratic algebra to a cross-product algebra associated to the characteristic variety and lands in a richer cross-product. It allows to control the C∗-norm on involutive quadratic algebras and to construct the differential calculus in the desired… CONTINUE READING
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