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

Date of publication: 4. 12. 2023
Seminar for probability, statistics, and financial mathematics
Thursday
7
December
Time:
14:15
Location:
Predavalnica 2.04 na FMF, Jadranska 21, Ljubljana.
ID: 954 9228 5750

V četrtek, 7. 12. 2023, ob 14:15 bo v predavalnici 2.04 v okviru seminarja VeSFiM potekal 1. del predavanje Matije Vidmarja z naslovom: Fock structure of complete Boolean algebras of type I factors and of unital factorizations.

Povzetek: 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 beingof Fock type'' is provided.

Predavanje bo potekalo v živo, bo pa omogočen tudi prenos prek interneta. Povezava na videokonferenčni sistem ZOOM: https://uni-lj-si.zoom.us/j/95492285750 ID: 954 9228 5750 Link to the slides: tinyurl.com/factorizations. Vljudno vabljeni!