## B. Tsirelson | ## Noise as a Boolean algebra of sigma-fields. III. An old question of Jacob Feldman | ## Recent works |

Boris Tsirelson,

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

arXiv:1110.3464.

Available online (free of charge) from e-print archive (USA):

arXiv.org/abs/1110.3464/

or its Israeli mirror:

il.arXiv.org/abs/1110.3464/

A research eprint, 16 pages, bibl. 4 refs.

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.

- Introduction.
- The easy direction.
- The difficult direction: nonspectral arguments.
- The difficult direction: spectral arguments.

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