You can helpexpand this article with text translated fromthe corresponding article in German. (November 2013)Click [show] for important translation instructions. Machine translation, likeDeepL orGoogle 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. Do not translate text that appears unreliable or low-quality. If possible, verify the text with references provided in the foreign-language article. Youmust providecopyright attribution in theedit summary accompanying your translation by providing aninterlanguage link to the source of your translation. A model attribution edit summary isContent in this edit is translated from the existing German Wikipedia article at [[:de:Jacques Dixmier]]; see its history for attribution. You may also add the template{{Translated|de|Jacques Dixmier}} to thetalk page. For more guidance, seeWikipedia:Translation.

Jacques Dixmier (born 24 May 1924) is a French mathematician. He worked onoperator algebras, especiallyC*-algebras, and wrote several of the standard reference books on them, and introduced theDixmier trace and theDixmier mapping.^[2]

Dixmier received hisPh.D. in 1949 from theUniversity of Paris, and his students includeAlain Connes.^[1]

In 1949 upon the initiative ofJean-Pierre Serre andPierre Samuel, Dixmier became a member ofBourbaki, in which he made essential contributions to the Bourbaki volume onLie algebras.^[3] After retiring as professor emeritus from theUniversity of Paris VI, he spent five years at theInstitut des Hautes Études Scientifiques.

Often, there is made the erroneous claim that Dixmier originated the namevon Neumann algebra for the operator algebras introduced byJohn von Neumann, but Dixmier said in an interview that the name originated from a proposal byJean Dieudonné.^[3]

Dixmier was aninvited speaker at the International Congress of Mathematicians in 1966 inMoscow with the talkEspace dual d'une algèbre, ou d'un groupe localement compact and again in 1978 in Helsinki with the talkAlgèbres enveloppantes.

• 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 ofLes C*-algèbres et leurs représentations, Gauthier-Villars, 1969.

• Dixmier, Jacques (1996) [1974],Enveloping algebras,Graduate Studies in Mathematics, vol. 11, Providence, R.I.:American Mathematical Society,ISBN 978-0-8218-0560-2,MR 0498740

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

• Dixmier, Jacques (1984).General Topology. Undergraduate Texts in Mathematics. Translated by Berberian, S. K. New York:Springer-Verlag.ISBN 978-0-387-90972-1.OCLC 10277303.

• Dixmier–Ng theorem

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