Journal article
Noncommutative differential geometry, quantization, and smooth symmetries of the C-algebras associated to topological dynamics
Integral equations and operator theory, Vol.12(5), pp.632-712
09/1989
DOI: 10.1007/BF01194558
Abstract
Noncommutative differential geometric structures are considered for a class of simple C*-algebras. This structure is defined in terms of smooth Lie group actions on the C*-algebra in question together with a certain quantization mapping motivated directly by the known cohomological obstructions for the quantum mechanical quantization correspondence. We show that such a quantization mapping may be constructed for the C*-algebras associated to antisymmetric bi-characters and for the Cuntz/Cuntz-Krieger C*-algebras associated to topological dynamics. A certain curvature obstruction is defined in terms of the quantization mapping. It is shown that existence of smooth Lie group actions is determined by the curvature obstruction.
Details
- Title: Subtitle
- Noncommutative differential geometry, quantization, and smooth symmetries of the C-algebras associated to topological dynamics
- Creators
- Palle E. T Jorgensen
- Resource Type
- Journal article
- Publication Details
- Integral equations and operator theory, Vol.12(5), pp.632-712
- DOI
- 10.1007/BF01194558
- ISSN
- 0378-620X
- eISSN
- 1420-8989
- Language
- English
- Date published
- 09/1989
- Academic Unit
- Mathematics
- Record Identifier
- 9983985865002771
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