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Jacques Dixmier  

Born  24 May 1924  (age 96)
Nationality  French 
Alma mater  University of Paris 
Known for  Dixmier conjecture Dixmier trace 
Awards  Prix Ampère (1976) Leroy P. Steele Prize (1992) ÉmilePicardMedaille (2001) 
Scientific career  
Fields  Mathematics 
Institutions  University of Paris 
Thesis  Étude sur les variétés et les opérateurs de Julia avec quelques applications^{[1]} 
Doctoral advisor  Gaston Julia 
Doctoral students  Alain Connes Michel Duflo Michèle Vergne Nicole Berline 
Jacques Dixmier (born 24 May 1924) is a French mathematician. He worked on operator algebras, especially C*algebras, and wrote several of the standard reference books on them, and introduced the Dixmier trace and the Dixmier mapping.^{[2]}
Biography
Dixmier received his Ph.D. in 1949 from the University of Paris, and his students include Alain Connes.^{[1]}
In 1949 upon the initiative of JeanPierre Serre and Pierre Samuel, Dixmier became a member of Bourbaki, in which he made essential contributions to the Bourbaki volume on Lie algebras.^{[3]} After retiring as professor emeritus from the University of Paris VI, he spent five years at the Institut des Hautes Études Scientifiques.
Often, there is made the erroneous claim that Dixmier originated the name von Neumann algebra for the operator algebras introduced by John von Neumann, but Dixmier said in an interview that the name originated from a proposal by Jean Dieudonné.^{[3]}
Dixmier was an invited speaker at the International Congress of Mathematicians in 1966 at Moscow with talk Espace dual d'une algèbre, ou d'un groupe localement compact and again in 1978 at Helsinki with talk Algèbres enveloppantes.
Publications
 J. Dixmier, C*algebras. Translated from the French by Francis Jellett. NorthHolland Mathematical Library, Vol. 15. NorthHolland Publishing Co., AmsterdamNew YorkOxford, 1977. xiii+492 pp. ISBN 0720407621
 A translation of Les C*algèbres et leurs représentations, GauthierVillars, 1969.
 Dixmier, Jacques (1996) [1974], Enveloping algebras, Graduate Studies in Mathematics, 11, Providence, R.I.: American Mathematical Society, ISBN 9780821805602, MR 0498740
 A translation of Algèbres enveloppantes, Cahiers Scientifiques, Fasc. XXXVII. GauthierVillars Éditeur, ParisBrusselsMontreal, Que., 1974. ii+349 pp.
 J. Dixmier, von Neumann algebras, Translated from the second French edition by F. Jellett. NorthHolland Mathematical Library, 27. NorthHolland Publishing Co., AmsterdamNew York, 1981. xxxviii+437 pp. ISBN 0444863087
 A translation of Les algèbres d'opérateurs dans l'espace hilbertien: algèbres de von Neumann, GauthierVillars (1957), the first book about von Neumann algebras.
Books
 Dixmier, Jacques (1984). General Topology. Undergraduate Texts in Mathematics. Translated by Berberian, S. K. New York: SpringerVerlag. ISBN 9780387909721. OCLC 10277303.
Notes
 ^ ^{a} ^{b} Jacques Dixmier at the Mathematics Genealogy Project
 ^ Turkevich, Ludmilla Buketoff; Turkevich, John, eds. (1968). Prominent Scientists of Continental Europe. American Elsevier Publishing Company. p. 43. ISBN 9780444000460. Retrieved 9 March 2021.
 ^ ^{a} ^{b} "Interview with Jacques Dixmier". Newsletter of the EMS. June 2009. p. 38.