Open AccessPrime type III factors
Author(s) -
Dimitri Shlyakhtenko
Publication year - 2000
Publication title -
proceedings of the national academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.220417397
Subject(s) - tensor product , type (biology) , prime (order theory) , subalgebra , lambda , mathematics , pure mathematics , algebra over a field , physics , combinatorics , geology , quantum mechanics , paleontology
It is shown that for each 0 < lambda < 1, the free Araki-Woods factor of type III(lambda) cannot be written as a tensor product of two diffuse von Neumann algebras (i.e., is prime) and does not contain a Cartan subalgebra.
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