Uffe Haagerup

from Wikipedia, the free encyclopedia
Uffe Haagerup (2008)

Uffe Valentin Haagerup (born December 19, 1949 in Kolding ; † July 5, 2015 in Faaborg ) was a Danish mathematician .

Life

Haagerup received his PhD in 1974 from the University of Copenhagen (Cand. Scient.). He was a professor at the Syddansk Universitet in Odense , where he was adjunct (assistant professor) from 1974, lecturer from 1979 and full professorship from 1981. Since 2010 he has been a professor at the University of Copenhagen.

He was visiting professor at the University of California, Los Angeles (1982/83), at the Mittag-Leffler Institute (1988/89), at the Mathematical Sciences Research Institute (MSRI) in Berkeley (2001), at the Fields Institute in Toronto (2007) and at the Westphalian Wilhelms University in Münster .

Haagerup dealt with operator algebras ( Von Neumann algebras , C * algebras ). He turned the free-Probability theory by Dan Voiculescu in to Hanne Schultz 2006, a variant of the problem of invariant subspaces for operators in separable Hilbert spaces to prove. The problem asks whether every such operator has a nontrivial closed invariant subspace. The general problem remains open. Haagerup and Schultz proved the existence of such subspaces for almost all operators from special Von Neumann algebras ( factors).

He gave a plenary lecture at the International Congress of Mathematicians (ICM) in Beijing in 2002 ( Random Matrices, Free Probability and the Invariant Subspace Problem Relative to a von Neumann Algebra ) and was invited speaker at the ICM 1986 in Berkeley ( The classification of hyperfine von Neumann algebras ). From 2000 to 2006 he was editor of Acta Mathematica . He was a member of the Royal Danish and Norwegian Academy of Sciences. In 1989 he received the Ole Rømer Prize and in 2008 the Humboldt Research Prize . In 2012 he was awarded the European Latsis Prize .

On July 5, 2015, Uffe Haagerup drowned in an accident near his summer home in Faaborg on Funen .

Fonts (selection)

  • An example of a non-nuclear C ∗ -algebra, which has the metric approximation property. Invent. Math. 50 (1978/79), no. 3, 279-293.
  • with Hans Munkholm: Simplices of maximal volume in hyperbolic n-space. Acta Math. 147 (1981), no. 1-2, 1-11.
  • Solution of the similarity problem for cyclic representations of C ∗ algebras. Ann. of Math. (2) 118 (1983) no. 2, 215-240.
  • All nuclear C ∗ algebras are amenable. Invent. Math. 74 (1983) no. 2, 305-319.
  • Connes' bicentralizer problem and uniqueness of the injective factor of type III 1 . Acta Math. 158 (1987) no. 1-2, 95-148.
  • with Michael Cowling: Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one. Invent. Math. 96 (1989) no. 3, 507-549.
  • Random matrices, free probability and the invariant subspace problem relative to a von Neumann algebra. Proceedings of the International Congress of Mathematicians, Vol. I (Beijing, 2002), 273-290, Higher Ed. Press, Beijing, 2002.
  • with Steen Thorbjørnsen: A new application of random matrices: Ext (C ∗ red (F 2 )) is not a group. Ann. of Math. (2) 162 (2005) no. 2, 711-775.
  • with Hanne Schultz: Invariant subspaces for operators in a general II 1 -factor. Publ. Math. Inst. Hautes Études Sci. No. 109: 19-111 (2009).

Web links

supporting documents

  1. ^ Professor Uffe Haagerup has passed away. At: math.ku.dk. July 8, 2015, accessed July 10, 2015.
personal data
SURNAME Haagerup, Uffe
ALTERNATIVE NAMES Haagerup, Uffe Valentin (full name)
BRIEF DESCRIPTION Danish mathematician
DATE OF BIRTH December 19, 1949
PLACE OF BIRTH Kolding
DATE OF DEATH 5th July 2015
Place of death Faaborg