© 2016

Operator Algebras and Applications

The Abel Symposium 2015

  • Toke M. Carlsen
  • Nadia S. Larsen
  • Sergey Neshveyev
  • Christian Skau
Conference proceedings

Part of the Abel Symposia book series (ABEL, volume 12)

Table of contents

  1. Front Matter
    Pages i-x
  2. Nathanial P. Brown, José R. Carrión, Stuart White
    Pages 45-65
  3. Alcides Buss, Siegfried Echterhoff, Rufus Willett
    Pages 67-114
  4. Erik Christensen
    Pages 133-149
  5. Astrid an Huef, Iain Raeburn
    Pages 177-189
  6. Xin Li
    Pages 191-202
  7. Hiroki Matui
    Pages 203-230
  8. Sergey Neshveyev, Makoto Yamashita
    Pages 231-263
  9. Ian F. Putnam
    Pages 265-275
  10. Wilhelm Winter
    Pages 327-348

About these proceedings


Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject.

The field of operator algebras was created in the 1930s and was motivated by problems of quantum mechanics. It has subsequently developed well beyond its initial intended realm of applications and expanded into such diverse areas of mathematics as representation theory, dynamical systems, differential geometry, number theory and quantum algebra. One branch, known as “noncommutative geometry”, has become a powerful tool for studying phenomena that are beyond the reach of classical analysis.

This volume includes research papers that present new results, surveys that discuss the development of

a specific line of research, and articles that offer a combination of survey and research. These contributions provide a multifaceted portrait of beautiful mathematics that both newcomers to the field of operator algebras and seasoned researchers alike will appreciate.


Abel Symposium K-Theory dynamical systems operator algebras subfactor theory quantum groups

Editors and affiliations

  • Toke M. Carlsen
    • 1
  • Nadia S. Larsen
    • 2
  • Sergey Neshveyev
    • 3
  • Christian Skau
    • 4
  1. 1.Department of Science and TechnologyUniversity of the Faroe IslandsTórshavnFaroe Islands
  2. 2.Department of MathematicsUniversity of OsloOsloNorway
  3. 3.Department of MathematicsUniversity of OsloOsloNorway
  4. 4.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway

Bibliographic information

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