Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
Abstract
This is a graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization. The reader is supposed to know elementary functional analysis and quantum mechanics.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 1998
- DOI:
- arXiv:
- arXiv:math-ph/9807030
- Bibcode:
- 1998math.ph...7030L
- Keywords:
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- Mathematical Physics;
- Operator Algebras;
- 46N50
- E-Print:
- 89 pages