This is a preview of subscription content, log in via an institution to check access.
References
J. Dixmier, Quelques proprietes des suites centrales dans les facteurs de type II, Inventiones Math. 7 (1969), 215–225.
J. Feldman, C.C. Moore, Ergodic equivalence relations, cohomology and von Neumann algebras, Trans. Amer. Math. Soc. 234 (1977), 289–361.
S. Popa, Orthogonal pairs of subalgebras in finite factors, J. Operator Theory 9 (1983), 253–268.
S.J. Szarek, Nests of Grassmann manifolds and orthogonal group, Proceedings of Research Workshop on Banach Space Theory (Bor-Luh-Lin, ed.), The University of Iowa, June 29–31 (1981), 169–185.
D. Voiculescu, Limit laws for random matrices and free products, Inventiones Math. 104 (1991), 210–220.
D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory II, Inventiones Math. 118 (1994), 411–440.
D. Voiculescu, K.J. Dykema, A. Nica, Free Random Variables, CRM Monograph Series, vol. I American Math. Soc. 1992.
Author information
Authors and Affiliations
Additional information
Research supported in part by NSF Grant DMS-920-4174.
Rights and permissions
About this article
Cite this article
Voiculescu, D. The analogues of entropy and of fisher's information measure in free probability theory III: The absence of cartan subalgebras. Geometric and Functional Analysis 6, 172–199 (1996). https://doi.org/10.1007/BF02246772
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02246772