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C∗-algebras: structure and classification

Snapshots of modern mathematics from Oberwolfach

C∗-algebras: structure and classification

The theory of C∗-algebras traces its origins back to the development of quantum mechanics and it has evolved into a large and highly active field of mathematics. Much of the progress over the last couple of decades has been driven by an ambitious program of classification launched by George A. Elliott in the 1980s, and just recently this project has succeeded in achieving one of its central goals in an unexpectedly dramatic fashion. This Snapshot aims to recount some of the fundamental ideas at play.

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Mathematical subjects

Analysis

Connections to other fields

Physics

Author(s)

David Kerr

License

DOI (Digital Object Identifier)

10.14760/SNAP-2021-002-EN

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snapshots-2021-002.pdf

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snapshots: overview

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      Mathematical subjects

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      Analysis
      Didactics and Education
      Discrete Mathematics and Foundations
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      Numerics and Scientific Computing
      Probability Theory and Statistics

      Connections to other fields

      Chemistry and Earth Science
      Computer Science
      Engineering and Technology
      Finance
      Humanities and Social Sciences
      Life Science
      Physics
      Reflections on Mathematics

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