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. See also Karoubian envelope.
$K$-theory. An introduction, Grundlehren der Mathematischen Wissenschaften, Band 226, Springer 1978. xviii+308 pp.
Lectures on K-theory, Proc. of the Trieste Conference in 2002, Contemporary Developments in Algebraic K-theory, ICTP Lecture notes 15 (2003).
Algebraic Topology via Differential Geometry (with Christian Leruste). Cambridge Univ. Press (1987), based on Méthodes de géométrie différentielle en topologie algébrique (1982, Paris 7)
Homologie cyclique et K-théorie, Astérisque 149. Société Mathématique de France (1987).
personal webpage;
German wikipedia