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C∗-algebras: structure and classification

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Analysis

Verbindung zu anderen Gebieten

Physik

Autor(en)

David Kerr

Lizenz

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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      Mathematisches Fachgebiet

      Algebra und Zahlentheorie
      Analysis
      Didaktik und Bildung
      Diskrete Mathematik und Grundlagen
      Geometrie und Topologie
      Numerik und Wissenschaftliches Rechnen
      Wahrscheinlichkeitstheorie und Statistik

      Verbindung zu anderen Gebieten

      Chemie und Geowissenschaft
      Informatik
      Ingenieurwissenschaft und Technik
      Finanzwesen
      Geistes- und Sozialwissenschaft
      Biowissenschaft
      Physik
      Überlegungen zur Mathematik

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