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arXiv · 2302.11804

Fock structure of complete Boolean algebras of type I factors and of unital factorizations

Matija Vidmar
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Abstract

The factorizable vectors of a complete Boolean algebra of type I factors, acting on a separable Hilbert space, are shown to be total, resolving a conjecture of Araki and Woods. En route, the spectral theory of noise-type Boolean algebras of Tsirelson is cast in the noncommutative language of "factorizations with unit" for which a muti-layered characterization of being "of Fock type" is provided.

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Matija Vidmar. 2023-02-23. Fock structure of complete Boolean algebras of type I factors and of unital factorizations. https://arxiv.org/abs/2302.11804

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