Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics

1998/07/24 by N. P. Landsman, Landsman, N. P. · 5 citations
Mathematics · Physics and Astronomy · #46N50 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #math-ph #math.MP #math.OA #msc:46N50

paper · pdf · doi:10.48550/arxiv.math-ph/9807030

89 pages

arxiv created 1998/07/24 · arxiv updated 2009/11/30

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.

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