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

Download PDF

PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
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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