The primality of subfactors of finite index in the interpolated free group factors

Proceedings of the American Mathematical Society

Volumn 126, Issue 8, 1998, Pages 2299-2307

  Ştefan, Marius B ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

Free entropy; Prime factors

Indexed keywords

EID: 22044455393     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04309-3     Document Type: Article

References (13)

1. Dykema, K., Interpolated free group factors, Pac. J. Math. 163 (1994), 123-135. MR 95c:46103
2. Dykema, K., Two applications of free entropy, Math. Ann. 308 (1997), 547-558. CMP 97:15
3. Ge, L., Applications of free entropy to finite von Neumann algebras, II, Preprint.
4. Ge, L., Prime Factors, Proc. Nat. Acad. Sei. (USA) 93 (1996), 12762-12763. CMP 97:03
5. Haagerup, U., An Example of a Non Nuclear C' -Algebra which has the Metric Approximation Property, Invent. Math. 50 (1979), 279-293. MR 80j:46094
6. Jones, V.F.R., Index for Subfactors, Invent. Math. 72 (1983), 1-25. MR 84d:46097
7. Popa, S., Orthogonal pairs of -subalgebras in finite von Neumann algebras, J. Op. Theory 9 (1983), 253-268. MR 84h:46077
8. Popa, S., Free-independent sequences in type II\ factors and related problems, Astérisque 232 (1995), 187-202. MR 97b:46080
9. Rǎdulescu, F., Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index, Invent. Math. 115 (1994), 347-389. MR 95c:46102
10. Szarek, S.J., Nets 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 (1982), 169-185. MR 85h:58021
11. Voiculescu, D., Circular and semicircular systems and free product factors. Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory, Progress in Mathematics 92 (1990), 45-60. MR 92e:46124
12. Voiculescu, D., The analogues of entropy and of Fisher's information measure in free probability theory, II, Invent. Math. 118 (1994), 411-440. MR 96a:46117
13. (13] Voiculescu, D., The analogues of entropy and of Fisher's information measure in free probability theory III: the absence of Cartan subalgebras, G.A.F.A. 6, No. 1 (1996), 172-199. MR 96m:46119