Index theory and noncommutative geometry: a survey

Alexander Gorokhovsky () and Erik Van Erp ()
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Alexander Gorokhovsky: University of Colorado Boulder
Erik Van Erp: Dartmouth College

A chapter in Advances in Noncommutative Geometry, 2019, pp 421-462 from Springer

Abstract: Abstract 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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-29597-4_7

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DOI: 10.1007/978-3-030-29597-4_7

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