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Operator Algebras and Applications

The Abel Symposium 2015

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Toke M. Carlsen

    1. Department of Science and Technology, University of the Faroe Islands, Tórshavn, Faroe Islands

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  2. Nadia S. Larsen

    1. Department of Mathematics, University of Oslo, Oslo, Norway

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  3. Sergey Neshveyev

    1. Department of Mathematics, University of Oslo, Oslo, Norway

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  4. Christian Skau

    1. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (15 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. C∗-Tensor Categories and Subfactors for Totally Disconnected Groups

    • Yuki Arano, Stefaan Vaes
    Pages 1-43

  3. Decomposable Approximations Revisited

    • Nathanial P. Brown, José R. Carrión, Stuart White
    Pages 45-65

  4. Exotic Crossed Products

    • Alcides Buss, Siegfried Echterhoff, Rufus Willett
    Pages 67-114

  5. On Hong and Szymański’s Description of the Primitive-Ideal Space of a Graph Algebra

    • Toke M. Carlsen, Aidan Sims
    Pages 115-132

  6. Commutator Inequalities via Schur Products

    • Erik Christensen
    Pages 133-149

  7. C∗-Algebras Associated with Algebraic Actions

    • Joachim Cuntz
    Pages 151-165

  8. A New Look at C∗-Simplicity and the Unique Trace Property of a Group

    • Uffe Haagerup
    Pages 167-176

  9. Equilibrium States on Graph Algebras

    • Astrid an Huef, Iain Raeburn
    Pages 177-189

  10. Semigroup C∗-Algebras

    • Xin Li
    Pages 191-202

  11. Topological Full Groups of Étale Groupoids

    • Hiroki Matui
    Pages 203-230

  12. Towards a Classification of Compact Quantum Groups of Lie Type

    • Sergey Neshveyev, Makoto Yamashita
    Pages 231-263

  13. A Homology Theory for Smale Spaces: A Summary

    • Ian F. Putnam
    Pages 265-275

  14. On the Positive Eigenvalues and Eigenvectors of a Non-negative Matrix

    • Klaus Thomsen
    Pages 277-302

  15. Classification of Graph Algebras: A Selective Survey

    • Mark Tomforde
    Pages 303-325

  16. QDQ vs. UCT

    • Wilhelm Winter
    Pages 327-348
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Science and Technology, University of the Faroe Islands, Tórshavn, Faroe Islands

    Toke M. Carlsen

  • Department of Mathematics, University of Oslo, Oslo, Norway

    Nadia S. Larsen, Sergey Neshveyev

  • Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

    Christian Skau

Bibliographic Information

  • Book Title: Operator Algebras and Applications

  • Book Subtitle: The Abel Symposium 2015

  • Editors: Toke M. Carlsen, Nadia S. Larsen, Sergey Neshveyev, Christian Skau

  • Series Title: Abel Symposia

  • DOI: https://doi.org/10.1007/978-3-319-39286-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-39284-4Published: 31 July 2016

  • Softcover ISBN: 978-3-319-81858-0Published: 30 May 2018

  • eBook ISBN: 978-3-319-39286-8Published: 30 July 2016

  • Series ISSN: 2193-2808

  • Series E-ISSN: 2197-8549

  • Edition Number: 1

  • Number of Pages: X, 348

  • Number of Illustrations: 109 b/w illustrations, 1 illustrations in colour

  • Topics: Functional Analysis, Dynamical Systems and Ergodic Theory, K-Theory, Mathematical Physics

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