Abstract
In 12 we present a formalism for the description of general classical and quantum systems within a single algebraic framework. This chapter provides the necessary mathematical material. Statements will be precise. No proofs will be given, but there will be ample references to suitable literature.
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Blackadar, B.: Operator Algebras: Theory of \(C^*\)-Algebras and von Neumann Algebras. Springer, Berlin (2006) (A more comprehensive textbook.)
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Azmi F.M.: Characterization of continuous functions on open connected subset of \(R^n\). JP J. Geometry Topology 7, 235–248 (2007). http://faculty.ksu.edu.sa/fazmi/Characterization%20of%20cont%20functions/cont-func-n-send.pdf
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Bongaarts, P. (2015). Algebras, States, Representations. In: Quantum Theory. Springer, Cham. https://doi.org/10.1007/978-3-319-09561-5_27
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DOI: https://doi.org/10.1007/978-3-319-09561-5_27
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