nLab Nigel Higson

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1. Selected writings

Introduction of E-theory:

• Alain Connes, Nigel Higson, Déformations, morphismes asymptotiques et $K$-théorie bivariante, C. R. Acad. Sci. Paris Sér. I Math. 311 (1990), no. 2, 101–106, MR91m:46114, pdf

• Nigel Higson, Categories of fractions and excision in KK-theory J. Pure Appl. Algebra, 65(2):119–138, (1990) (pdf)

Proof of the Atiyah-Singer index theorem using KK-theory/E-theory:

• Nigel Higson, John Roe, Lectures on operator K-theory and the Atiyah-Singer Index Theorem (2004) (pdf)

On $C^\ast$ groupoid algebras:

• Nigel Higson: Groupoids, $C^\ast$-algebras and Index theory, lecture notes (2014) [pdf]

2. Related entries

• Atiyah-Singer index theorem
• Baum-Connes conjecture
• Baum-Douglas geometric cycles
• E-theory
• K-homology
• KK-theory
• asymptotic C-star-homomorphism
• category algebra
• symbol of a differential operator

category: people