Noncommutative Geometry

@inproceedings{Lesniewski1997NoncommutativeG,
  title={Noncommutative Geometry},
  author={Andrew S. Lesniewski},
  year={1997}
}
Noncommutative Spaces It was noticed a long time ago that various properties of sets of points can be restated in terms of properties of certain commutative rings of functions over those sets. In particular, this observation proved to be extremely fruitful in algebraic geometry and has led to tremendous progress in this subject over the past few decades. In these developments the concept of a point in a space is secondary and overshadowed by the algebraic properties of the (sheaves of) rings of… 

Cyclic cohomology and the noncommutative Chern character

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