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Topic · Mathematical Physics

Advanced Operator Algebra Research

Advanced Operator Algebra Research is a research topic within Mathematical Physics. Science Explorer counts 15k research works in it since 1951. 17.2% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the classification, properties, and applications of C*-algebras, including topics such as quantum groups, noncommutative geometry, K-theory, locally compact groups, von Neumann algebras, quantum field theory, group actions, operator systems, and spectral triples.

  • C*-Algebras
  • Quantum Groups
  • Noncommutative Geometry
  • K-Theory
  • Locally Compact Groups
  • Von Neumann Algebras
  • Quantum Field Theory
  • Group Actions
  • Operator Systems
  • Spectral Triples
Research works
15k
fractional, since 1951
In the world top 10%
2.5k
per year above
Top-10% rate
17.2%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
-3%
the tick is no change

Which countries lead Advanced Operator Algebra Research research?

By volume, the United States and China publish the most (287 and 183 works in 2022–2025).

By volume, 2022–2025

  1. 1 United States 287 works
  2. 2 China 183 works
  3. 3 Germany 106 works
  4. 4 France 102 works
  5. 5 India 93 works
  6. 6 Japan 84 works
  7. 7 Russia 81 works
  8. 8 United Kingdom 75 works
  9. 9 Iran 72 works
  10. 10 Italy 68 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

United States: 24.9%China: 15.9%Germany: 9.2%France: 8.9%6 others listed: 41.1%25%largest
United States287 · 24.9%China183 · 15.9%Germany106 · 9.2%France102 · 8.9%6 others listed474 · 41.1%

Shares of the rows listed above, not of the whole node.

Which institutions lead Advanced Operator Algebra Research research?

By volume in 2022–2025, Centre National de la Recherche Scientifique publishes the most Advanced Operator Algebra Research research, followed by KU Leuven and University of Münster.

By volume, 2022–2025

  1. 1 Centre National de la Recherche ScientifiqueFrance 16 works
  2. 2 KU LeuvenBelgium 12 works
  3. 3 University of MünsterGermany 11 works
  4. 4 The University of TokyoJapan 11 works
  5. 5 East China Normal UniversityChina 11 works
  6. 6 Indian Statistical InstituteIndia 10 works
  7. 7 UNSW SydneyAustralia 10 works
  8. 8 Lomonosov Moscow State UniversityRussia 10 works
  9. 9 University of OxfordUnited Kingdom 10 works
  10. 10 University of WaterlooCanada 9 works

Who are the leading researchers in Advanced Operator Algebra Research?

The most-cited researchers publishing on Advanced Operator Algebra Research include Stephan Ramon Garcia.

  1. 1 Stephan Ramon Garcia United States 4k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Advanced Operator Algebra Research research done?

The largest centres of Advanced Operator Algebra Research research in 2022–2025 are Moscow (Russia), Paris (France), Shanghai (China) and Tokyo (Japan).

Largest cities, 2022–2025

  1. 1 Moscow Russia 37 works
  2. 2 Paris France 31 works
  3. 3 Shanghai China 31 works
  4. 4 Tokyo Japan 24 works
  5. 5 Beijing China 23 works
  6. 6 Tehran Iran 17 works
  7. 7 Prague Czechia 17 works
  8. 8 Rome Italy 16 works
  9. 9 Warsaw Poland 16 works
  10. 10 Kolkata India 16 works
See Advanced Operator Algebra Research on the map

Where is the best place to study Advanced Operator Algebra Research?

Among universities, judged by research, Kazan Federal University, University of Münster and Indian Statistical Institute score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 15.1%fractional works in this node (log) →share in the world top 10% →Kazan Federal University: 9, 15.7%University of Münster: 12, 16.2%Indian Statistical Institute: 10, 17.9%KU Leuven: 12, 16.7%Kyoto University: 9, 23.6%University of Oxford: 10, 31.7%University of Rome Tor Vergata: 9, 10.5%University of Waterloo: 10, 5.6%Radboud University Nijmegen: 9, 7.6%East China Normal University: 10, 5.5%Indian Statistical I…KU LeuvenUniversity of MünsterKazan Federal Univer…
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Kazan Federal UniversityRussia 57.015.7%19.5×9 +112.1%
2 University of MünsterGermany 56.316.2%19.8×12 +15.6%
3 Indian Statistical InstituteIndia 53.117.9%72.3×10 +6.3%
4 KU LeuvenBelgium 51.916.7%8.0×12 -2.3%
5 Kyoto UniversityJapan 47.923.6%7.3×9 +48.1%
6 University of OxfordUnited Kingdom 46.731.7%4.5×10 +14.7%
7 University of Rome Tor VergataItaly 43.910.5%17.6×9 +3.9%
8 University of WaterlooCanada 40.95.6%10.1×10 +1.2%
9 Radboud University NijmegenNetherlands 40.37.6%12.4×9 -16.8%
10 East China Normal UniversityChina 39.65.5%12.7×10 -1.2%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Advanced Operator Algebra Research research growing?

Output in 2018–2022 was 3% lower than in 2013–2017, peaking in 2016. The fastest-growing topics are Advanced Operator Algebra Research.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.