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• W2108679268 abstract "The Kochen-Specker theorem has been discussed intensely ever since its original proof in 1967. It is one of the central no-go theorems of quantum theory, showing the non-existence of a certain kind of hidden states models. In this paper, we first offer a new, non-combinatorial proof for quantum systems with a type $I_{n}$ factor as algebra of observables, including $I_{infty}$. Afterwards, we give a proof of the Kochen-Specker theorem for an arbitrary von Neumann algebra $mathcal{R}$ without summands of types $I_{1}$ and $I_{2}$, using a known result on two-valued measures on the projection lattice $mathcal{P(R)}$. Some connections with presheaf formulations as proposed by Isham and Butterfield are made." @default.
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• W2108679268 date "2005-02-01" @default.
• W2108679268 modified "2023-10-04" @default.
• W2108679268 title "Kochen–Specker Theorem for von Neumann Algebras" @default.
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• W2108679268 doi "https://doi.org/10.1007/s10773-005-1490-6" @default.
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