Noise as a Boolean algebra of . -fields

Citation
Tsirelson, Boris, Noise as a Boolean algebra of . -fields, Annals of probability , 42(1), 2014, pp. 311-353
Journal title
ISSN journal
00911798
Volume
42
Issue
1
Year of publication
2014
Pages
311 - 353
Database
ACNP
SICI code
Abstract
A noise is a kind of homomorphism from a Boolean algebra of domains to the lattice of .-fields. Leaving aside the homomorphism we examine its image, a Boolean algebra of .-fields. The largest extension of such Boolean algebra of .-fields, being well-defined always, is a complete Boolean algebra if and only if the noise is classical, which answers an old question of J. Feldman.