Corpus ID: 118330489

An Introduction to K-theory and cyclic cohomology

@article{Brodzki1998AnIT,
  title={An Introduction to K-theory and cyclic cohomology},
  author={J. Brodzki},
  journal={arXiv: Functional Analysis},
  year={1998}
}
  • J. Brodzki
  • Published 1998
  • Mathematics, Physics
  • arXiv: Functional Analysis
  • These lecture notes contain an exposition of basic ideas of K-theory and cyclic cohomology. I begin with a list of examples of various situations in which the K-functor of Grothendieck appears naturally, including the rudiments of the topological and algebraic K-theory, K-theory of C^*-algebras, and K-homology. I then discuss elementary properties of cyclic cohomology using the Cuntz-Quillen version of the calculus of noncommutative differential forms on an algebra. As an example of the… CONTINUE READING
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