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 32 Citations 4,898 115 World Ranking 2392 National Ranking 14

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Pure mathematics
  • Topology

Mikael Rørdam mostly deals with Discrete mathematics, Combinatorics, Pure mathematics, Separable space and Simple. His biological study deals with issues like Crossed product, which deal with fields such as C*-algebra and Direct limit. Much of his study explores Combinatorics relationship to Unital.

His Noncommutative geometry and Operator algebra investigations are all subjects of Pure mathematics research. Mikael Rørdam regularly links together related areas like Cuntz algebra in his Separable space studies. His biological study spans a wide range of topics, including Zero and Rank.

His most cited work include:

  • An Introduction to K-Theory for C*-Algebras (366 citations)
  • On the structure of simple C∗-algebras tensored with a UHF-algebra, II (280 citations)
  • Infinite Non-simple C*-Algebras: Absorbing the Cuntz Algebra O∞ (175 citations)

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

Mikael Rørdam spends much of his time researching Pure mathematics, Combinatorics, Discrete mathematics, Algebra and Simple. In general Pure mathematics, his work in Algebra over a field, Divisibility rule and Cuntz algebra is often linked to Metrization theorem linking many areas of study. His Combinatorics research incorporates themes from Zero, Separable space, Unital and Rank.

Mikael Rørdam interconnects Direct limit and Tensor in the investigation of issues within Separable space. In Discrete mathematics, Mikael Rørdam works on issues like Free product, which are connected to Trace. He has researched Algebra in several fields, including Symmetric algebra, Algebra representation, Cellular algebra and Filtered algebra.

He most often published in these fields:

  • Pure mathematics (47.37%)
  • Combinatorics (29.82%)
  • Discrete mathematics (23.68%)

What were the highlights of his more recent work (between 2011-2020)?

  • Pure mathematics (47.37%)
  • Algebra (22.81%)
  • Simple (20.18%)

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

Pure mathematics, Algebra, Simple, Invariant and Trace are his primary areas of study. His Pure mathematics research includes elements of Simplex and Free product. The study incorporates disciplines such as Algebra representation, Cellular algebra, Subalgebra and Filtered algebra in addition to Algebra.

His biological study spans a wide range of topics, including Discrete mathematics, Sequence and Unital. His Discrete mathematics research integrates issues from Mathematical proof and Quotient. His research in Trace tackles topics such as Factorization which are related to areas like Structure, Characterization, Rank and Bounded function.

Between 2011 and 2020, his most popular works were:

  • CENTRAL SEQUENCE C -ALGEBRAS AND TENSORIAL ABSORPTION OF THE JIANG-SU ALGEBRA (79 citations)
  • Purely infinite C * -algebras arising from crossed products (62 citations)
  • THE CORONA FACTORIZATION PROPERTY, STABILITY, AND THE CUNTZ SEMIGROUP OF A C -ALGEBRA (36 citations)

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

  • Algebra
  • Pure mathematics
  • Topology

Mikael Rørdam mainly focuses on Pure mathematics, Algebra, Simple, Crossed product and Factorization. His work deals with themes such as Spectrum and Prime, which intersect with Pure mathematics. His work on Rank as part of general Algebra research is frequently linked to Elementary amenable group, bridging the gap between disciplines.

The various areas that Mikael Rørdam examines in his Simple study include Group, Cantor set, Countable set, Sequence and Abelian group. He focuses mostly in the field of Sequence, narrowing it down to topics relating to Unital and, in certain cases, Semigroup. His Crossed product research incorporates elements of Commutative property, Noncommutative harmonic analysis, Locally compact space, Locally compact group and Invariant.

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 Introduction to K-Theory for C*-Algebras

M. Rørdam;F. Larsen;N. Laustsen.
(2000)

648 Citations

On the structure of simple C∗-algebras tensored with a UHF-algebra, II

Mikael Rørdam.
Journal of Functional Analysis (1991)

303 Citations

Classification of Nuclear C*-Algebras. Entropy in Operator Algebras

Mikael Rørdam;Erling Størmer.
(2002)

228 Citations

THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS

Mikael Rørdam.
International Journal of Mathematics (2004)

219 Citations

Approximately Central Matrix Units and the Structure of Noncommutative Tori

Bruce Blackadar;Alexander Kumjian;Mikael Rørdam.
K-theory (1992)

210 Citations

Classification of Certain Infinite Simple C*-Algebras

M. Rordam.
Journal of Functional Analysis (1995)

204 Citations

Classification of Nuclear, Simple C*-algebras

M. Rørdam.
(2002)

199 Citations

Infinite Non-simple C*-Algebras: Absorbing the Cuntz Algebra O∞

Eberhard Kirchberg;Mikael Rørdam.
Advances in Mathematics (2002)

189 Citations

A simple C*-algebra with a finite and an infinite projection

Mikael Rørdam.
Acta Mathematica (2003)

184 Citations

Classification of Cuntz-Krieger algebras

Mikael Rørdam.
K-theory (1995)

157 Citations

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