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- W3100134061 abstract "Let M be a von Neumann algebra on a Hilbert space H with a cyclic and separating unit vector Omega and let omega be the faithful normal state on M given by omega(cdot)=(Omega,cdotOmega). Moreover, let {N_i :iin I} be a family of von Neumann subalgebras of M with faithful normal conditional expectations E_i of M onto N_i satisfying omega=omegacirc E_i for all iin I and let N=bigcap_{iin I} N_i. We show that the projections e_i, e of H onto the closed subspaces bar{N_iOmega} and bar{NOmega} respectively satisfy e=bigwedge_{iin I}e_i.This proves a conjecture of V.F.R. Jones and F. Xu in cite{JonesXu04}." @default.
- W3100134061 created "2020-11-23" @default.
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- W3100134061 date "2005-07-01" @default.
- W3100134061 modified "2023-09-26" @default.
- W3100134061 title "INTERSECTING JONES PROJECTIONS" @default.
- W3100134061 cites W2013094735 @default.
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- W3100134061 doi "https://doi.org/10.1142/s0129167x05003016" @default.
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