Jacques Dixmier

Jacques Dixmier
Born	1924 (age 86–87) Saint-Étienne
Nationality	French
Fields	Mathematics
Institutions	University of Paris
Alma mater	University of Paris
Doctoral advisor	Gaston Julia
Doctoral students	Alain Connes Michel Duflo Pierre Eymard Michèle Vergne
Known for	Dixmier conjecture Dixmier trace

Jacques Dixmier (born 1924) is a French mathematician. 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.^[1]

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 (1996) [1974], Enveloping algebras, Graduate Studies in Mathematics, 11, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-0560-2, MR0498740, http://books.google.com/books?isbn=0821805606 

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.

Notes

1. ^ Jacques Dixmier at the Mathematics Genealogy Project.

Persondata
Name	Dixmier, Jacques
Alternative names
Short description
Date of birth	1924
Place of birth	Saint-Étienne
Date of death
Place of death