D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 42 Citations 8,398 101 World Ranking 1210 National Ranking 9

Overview

What is he best known for?

The fields of study he is best known for:

  • Pure mathematics
  • Algebra
  • Mathematical analysis

Uffe Haagerup mostly deals with Pure mathematics, Discrete mathematics, Von Neumann algebra, Combinatorics and Bounded function. His Pure mathematics study combines topics from a wide range of disciplines, such as Factorization and State. In the subject of general Discrete mathematics, his work in Approximation property is often linked to Rademacher functions, thereby combining diverse domains of study.

His research investigates the connection between Von Neumann algebra and topics such as Abelian von Neumann algebra that intersect with issues in Von Neumann's theorem and Crossed product. His Combinatorics research incorporates themes from Marchenko–Pastur distribution, Random matrix and Group. Uffe Haagerup focuses mostly in the field of Bounded function, narrowing it down to topics relating to Hilbert space and, in certain cases, Linear map and Algebra representation.

His most cited work include:

  • An Example of a Non Nuclear C*-Algebra, which has the Metric Approximation Property. (542 citations)
  • The standard form of von Neumann algebras. (345 citations)
  • The best constants in the Khintchine inequality (279 citations)

What are the main themes of his work throughout his whole career to date?

Uffe Haagerup focuses on Pure mathematics, Combinatorics, Von Neumann algebra, Discrete mathematics and Type. His Pure mathematics research includes elements of Simple, State and Triangular matrix. His Combinatorics research includes themes of Random matrix, Bounded function and Group.

His research on Von Neumann algebra also deals with topics like

  • Abelian von Neumann algebra which connect with Affiliated operator,
  • Algebra together with Jordan algebra. As part of his studies on Discrete mathematics, Uffe Haagerup frequently links adjacent subjects like Factorization. His research investigates the connection with Type and areas like Predual which intersect with concerns in Separable space and Hilbert space.

He most often published in these fields:

  • Pure mathematics (45.67%)
  • Combinatorics (39.37%)
  • Von Neumann algebra (27.56%)

What were the highlights of his more recent work (between 2009-2021)?

  • Combinatorics (39.37%)
  • Pure mathematics (45.67%)
  • Group (15.75%)

In recent papers he was focusing on the following fields of study:

Uffe Haagerup mainly focuses on Combinatorics, Pure mathematics, Group, State and Lie group. His studies in Combinatorics integrate themes in fields like Matrix, Irreducible representation and Bounded function. His research integrates issues of Discrete mathematics, Factorization and Simple in his study of Pure mathematics.

His Discrete mathematics research is multidisciplinary, incorporating perspectives in Embedding problem and Regular polygon. His studies deal with areas such as Type and Von Neumann algebra as well as State. The various areas that Uffe Haagerup examines in his Von Neumann algebra study include Ultraproduct and Injective function.

Between 2009 and 2021, his most popular works were:

  • Factorization and Dilation Problems for Completely Positive Maps on von Neumann Algebras (92 citations)
  • Ultraproducts of von Neumann algebras (79 citations)
  • Simple Lie groups without the approximation property (34 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Pure mathematics
  • Algebra

Uffe Haagerup mainly investigates Pure mathematics, Combinatorics, Bounded function, Simple and Group. His Pure mathematics research is multidisciplinary, relying on both Factorization and State. Uffe Haagerup combines subjects such as Simplicity, Type, Centralizer and normalizer and Von Neumann algebra with his study of State.

His research in Combinatorics intersects with topics in Matrix coefficient and Matrix. He has included themes like Lie group, Center and Fourier algebra in his Bounded function study. His research combines Approximation property and Simple.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

An Example of a Non Nuclear C*-Algebra, which has the Metric Approximation Property.

Uffe Haagerup.
Inventiones Mathematicae (1978)

866 Citations

The standard form of von Neumann algebras.

Uffe Haagerup.
Mathematica Scandinavica (1975)

554 Citations

The best constants in the Khintchine inequality

Uffe Haagerup.
Studia Mathematica (1981)

451 Citations

Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups

Jean de Canniere;Uffe Haagerup.
American Journal of Mathematics (1985)

400 Citations

Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one

Michael Cowling;Uffe Haagerup.
Inventiones Mathematicae (1989)

341 Citations

Operator valued weights in von Neumann algebras, II

Uffe Haagerup.
Journal of Functional Analysis (1979)

315 Citations

All nuclear C*-algebras are amenable.

U. Haagerup.
Inventiones Mathematicae (1983)

291 Citations

A new application of random matrices: Ext$(C^*_{\mathrm{red}}(F_2))$ is not a group

Uffe Haagerup;Steen Thorbjørnsen.
Annals of Mathematics (2005)

287 Citations

Random matrices with complex Gaussian entries

Uffe Haagerup;Steen Thorbjørnsen.
Expositiones Mathematicae (2003)

263 Citations

Conne’s bicentralizer problem and uniqueness of the injective factor of type III1

Uffe Haagerup.
Acta Mathematica (1987)

261 Citations

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