.mw-parser-output .hidden-begin{box-sizing:border-box;width:100%;padding:5px;border:none;font-size:95%}.mw-parser-output .hidden-title{font-weight:bold;line-height:1.6;text-align:left}.mw-parser-output .hidden-content{text-align:left}You can help expand this article with text translated from the corresponding article in German. (November 2013) Click [show] for important translation instructions. Machine translation, like DeepL or Google Translate, is a useful starting point for translations, but translators must revise errors as necessary and confirm that the translation is accurate, rather than simply copy-pasting machine-translated text into the English Wikipedia. Consider adding a topic to this template: there are already 8,931 articles in the main category, and specifying|topic= will aid in categorization. Do not translate text that appears unreliable or low-quality. If possible, verify the text with references provided in the foreign-language article. You must provide copyright attribution in the edit summary accompanying your translation by providing an interlanguage link to the source of your translation. A model attribution edit summary is Content in this edit is translated from the existing German Wikipedia article at [[:de:Jacques Dixmier]]; see its history for attribution. You should also add the template ((Translated|de|Jacques Dixmier)) to the talk page. For more guidance, see Wikipedia:Translation.
Jacques Dixmier
Born24 May 1924 (1924-05-24) (age 99)
Saint-Étienne, France
Alma materUniversity of Paris
Known forDixmier condition
Dixmier conjecture
Dixmier mapping
Dixmier problem
Dixmier trace
AwardsPrix de l'État (1962)
Prix Ampère (1976)
Leroy P. Steele Prize (1992)
Émile-Picard-Medaille (2001)
Scientific career
FieldsMathematics
InstitutionsUniversity of Paris
ThesisÉtude sur les variétés et les opérateurs de Julia avec quelques applications[1]
Doctoral advisorGaston Julia
Doctoral studentsAlain 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 Jean-Pierre 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 in Moscow with the talk Espace dual d'une algèbre, ou d'un groupe localement compact and again in 1978 in Helsinki with the talk Algèbres enveloppantes.

Publications

A translation of Les C*-algèbres et leurs représentations, Gauthier-Villars, 1969.
A translation of Algèbres enveloppantes, Cahiers Scientifiques, Fasc. XXXVII. Gauthier-Villars Éditeur, Paris-Brussels-Montreal, Que., 1974. ii+349 pp.
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.

Books

Notes

  1. ^ a b Jacques Dixmier at the Mathematics Genealogy Project
  2. ^ Turkevich, Ludmilla Buketoff; Turkevich, John, eds. (1968). Prominent Scientists of Continental Europe. American Elsevier Publishing Company. p. 43. ISBN 9780444000460. Retrieved 9 March 2021.
  3. ^ a b "Interview with Jacques Dixmier". Newsletter of the EMS. June 2009. p. 38.


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