Jacques Dixmier

Jacques Dixmier
Born	1924 (age 99–100) Saint-Étienne
Nationality	French
Alma mater	University of Paris
Known for	Dixmier conjecture Dixmier trace
Scientific career
Fields	Mathematics
Institutions	University of Paris
Doctoral advisor	Gaston Julia
Doctoral students	Alain Connes Michel Duflo Pierre Eymard Michèle Vergne

Jacques Dixmier (born 1924) is a Frenchmathematician. He worked on operator algebras, and wrote several of the standard reference books on them, and introduced the Dixmier trace. He received his Ph.D. in 1949 from the University of Paris, and his students include Alain Connes.

Publications

• J. Dixmier, C*-algebras. Translated from the French by Francis Jellett. North-Holland Mathematical Library, Vol. 15. North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. xiii+492 pp. ISBN 0-7204-0762-1

A translation of Les C*-algèbres et leurs représentations, Gauthier-Villars, 1969.

• Dixmier, Jacques, Enveloping algebras. Revised reprint of the 1977 translation. Graduate Studies in Mathematics, 11. American Mathematical Society, Providence, RI, 1996. xx+379 pp. ISBN 0-8218-0560-6

A translation of Algèbres enveloppantes, Cahiers Scientifiques, Fasc. XXXVII. Gauthier-Villars Éditeur, Paris-Brussels-Montreal, Que., 1974. ii+349 pp.

• J. Dixmier, von Neumann algebras, Translated from the second French edition by F. Jellett. North-Holland Mathematical Library, 27. North-Holland Publishing Co., Amsterdam-New York, 1981. xxxviii+437 pp. ISBN 0-444-86308-7

A translation of Les algèbres d'opérateurs dans l'espace hilbertien: algèbres de von Neumann, Gauthier-Villars (1957), the first book about von Neumann algebras.