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arXiv · 1110.3464

Noise as a Boolean algebra of sigma-fields. III. An old question of Jacob Feldman

Boris Tsirelson
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Abstract

The noise-type completion C of a noise-type Boolean algebra B is generally not the same as the closure of B. As shown in Part I (Introduction, Theorem 2), C consists of all complemented elements of the closure. It appears that C is the whole closure if and only if B is classical (as defined in Part II, Sect. 1a), which is the main result of this Part III.

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Boris Tsirelson. 2011-10-16. Noise as a Boolean algebra of sigma-fields. III. An old question of Jacob Feldman. https://arxiv.org/abs/1110.3464

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