nLab
Max Karoubi

Max Karoubi is a French topologist, with main interests in algebraic and topological K-theory, cyclic (co)homology and noncommutative geometry à là Connes. He introduced the noncommutative differential forms to generalize the de Rham complex to noncommutative geometry.

• personal webpage;

• German wikipedia

Selected writings

On topological K-theory:

• Max Karoubi, K-Theory – An introduction, Grundlehren der mathematischen Wissenschaften 226, Springer 1978 (pdf, doi:10.1007%2F978-3-540-79890-3)

• Lectures on K-theory, Proc. of the Trieste Conference in 2002, Contemporary Developments in Algebraic K-theory, ICTP Lecture notes 15 (2003).

On cyclic homology, topological K-theory and differential K-theory:

• Max Karoubi, Homologie cyclique et K-théorie, Astérisque, no. 149 (1987) (numdam:AST_1987__149__1_0)

On equivariant K-theory:

• Max Karoubi, Equivariant K-theory of real vector spaces and real vector bundles, Topology and its Applications, 122, (2002) 531-456 (arXiv:math/0509497)

On Bott periodicity:

• Max Karoubi, Bott Periodicity in Topological, Algebraic and Hermitian K-Theory, In: Eric Friedlander, Daniel Grayson (eds.) Handbook of K-Theory, Springer 2005 (doi:10.1007/978-3-540-27855-9_4)

On algebraic topology and differential geometry:

• Algebraic Topology via Differential Geometry (with Christian Leruste). Cambridge Univ. Press (1987), based on Méthodes de géométrie différentielle en topologie algébrique (1982, Paris 7)

Related $n$Lab entries

• Karoubian envelope

category: people