Jordan Invariants of Von Neumann Algebras Given by Abelian Subalgebras and Choquet Order on State Spaces

Author:

Turilova EkaterinaORCID,Hamhalter Jan

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),General Mathematics

Reference18 articles.

1. Brateli, O., Robinson, D.W.: Operator Algebras and Quantum Statistical Mechanics, vol. 1. Springer, Berlin (1997)

2. Bunce, L.J., Wright, J.D.M.: The Mackey-Gleason problem for vector measures on projections in von Neumann algebras. J. London Math. Soc. 49(2), 133–149 (1994)

3. Döring, A., Harding, J.: Abelian subalgebras and the Jordan structure of von Neumann algebras, arXiv:1009.4945

4. Dye, H. A.: On the geometry of projections in certain operator algebras. Ann. Math. 61(1), 73–89 (1955)

5. Halvorson, H. (ed.): Deep beauty: understanding the quantum world through mathematical innovation. Cambridge University Press, Cambridge (2011)

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