The remarkable links between this subject, the tools he and others devised to tackle the problem and other subjects in theoretical physics, particle physics, differential geometry, made him emphasize Noncommutative geometry (name of his major book to date).

He was awarded the Fields Medal in 1982 and the Crafoord Prize in 2001.

See Cyclic homology, Von Neumann Algebra/Factors, Higgs boson, C-star-algebra, M Theory, Groupoid, Jean Louis Loday.