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Jacques Dixmier

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Nationality
  
French

Role
  
Mathematician

Notable students
  
Alain Connes

Name
  
Jacques Dixmier

Doctoral advisor
  
Gaston Julia

Alma mater
  
University of Paris

Fields
  
Mathematics

Institutions
  
University of Paris

Education
  
University of Paris


Jacques Dixmier sergemehlfreefrjpegDixmierJPG

Thesis
  
Etude sur les varietes et les operateurs de Julia avec quelques applications

Doctoral students
  
Alain Connes Michel Duflo Pierre Eymard Michele Vergne Nicole Berline

Known for
  
Dixmier conjecture Dixmier trace

Books
  
North‑Holland Mathematical Library: V, Enveloping algebras, General Topology, Les algebres d'operate, Les C*‑algèbres et leurs re

Jacques Dixmier (born 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.

Contents

Biography

Dixmier received his Ph.D. in 1949 from the University of Paris, and his students include Alain Connes.

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. 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.

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. North-Holland Mathematical Library, Vol. 15. North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. xiii+492 pp. ISBN 0-7204-0762-1
  • Dixmier, Jacques (1996) [1974], Enveloping algebras, Graduate Studies in Mathematics, 11, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-0560-2, MR 0498740 
  • 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
  • References

    Jacques Dixmier Wikipedia