Index theory and noncommutative geometry: a survey

  title={Index theory and noncommutative geometry: a survey},
  author={Alexander Gorokhovsky and Erik van Erp},
  journal={Advances in Noncommutative Geometry},
This chapter is an introductory survey of selected topics in index theory in the context of noncommutative geometry, focusing in particular on Alain Connes’ contributions. This survey has two parts. In the first part, we consider index theory in the setting of K-theory of C∗ algebras. The second part focuses on the local index formula of A. Connes and H. Moscovici in the context of noncommutative geometry. 
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