Abstract
A characterization in terms of locality is given of certain differential operators on a C*-algebra. These differential operators are polynomials in the generator of a one-parameter group of automorphisms of the C*-algebra, with coefficients in the centre of the algebra. (More precisely, the coefficients may be central multipliers of a certain two-sided ideal of the algebra.)
Keywords
- Density Matrix
- Vector State
- Irreducible Representation
- Pure State
- Additional Hypothesis
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© 1985 Springer-Verleg
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Bratteli, O., Digernes, T., Elliott, G.A. (1985). Locality and differential operators on C*-algebras, II. In: Araki, H., Moore, C.C., Stratila, ŞV., Voiculescu, DV. (eds) Operator Algebras and their Connections with Topology and Ergodic Theory. Lecture Notes in Mathematics, vol 1132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074879
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DOI: https://doi.org/10.1007/BFb0074879
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