Strongly singular masas in type II1 factors

Geometric and Functional Analysis

Volumn 12, Issue 1, 2002, Pages 199-216

  Sinclair, A M ^a   Smith, R R ^b  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036014170     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-002-8243-y     Document Type: Article

References (27)

1. [B] D. Bures, Abelian subalgebras of von Neumann algebras, Mem. Amer. Math. Soc. 110 (1971), 1-127.
2. [C] E. Christensen, Subalgebras of a finite algebra, Math. Ann. 243 (1979), 17-29.
3. [Co] A. Connes, Classification of injective factors, Ann. Math. 104 (1976), 73-115.
4. [D] J. Dixmier, Sous-anneaux abéliens maximaux dans les facteurs de type fini, Ann. Math. 59 (1954), 279-286.
5. [Dy] K. Dykema, Two applications of free entropy, Math. Ann. 308 (1997), 547-558.
6. [EW] G. Elliott, E.J. Woods, The equivalence of various definitions for a properly infinite von Neumann algebra to be approximately finite dimensional, Proc. Amer. Math. Soc. 60 (1976), 175-178.
7. [G] L. Ge, Applications of free entropy to finite von Neumann algebras, Amer. J. Math. 119 (1997), 467-485.
8. 1, Duke Math. J. 94 (1998), 79-101.
9. [GhH] E. Ghys, P. De La Harpe, Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Mathematics 83, Birkhäuser, Boston, 1990.
10. [Gr] M. Gromov, Hyperbolic groups, in "Essays in Group Theory", Math. Sci. Res. Inst. Publ. 8, Springer, New York-Berlin (1987), 75-263.
11. [H] P. De La Harpe, Operator algebras, free groups and other groups, Astérisque 232 (1995), 121-153.
12. [HV] P. De La Harpe, A. Valette, La propriété (T) de Kazhdan pour les groupes localement compacts (avec un appendice de Marc Burger), Astérisque 175 (1989), 1-158.
13. [JP] V. Jones, S. Popa, Some properties of MASAs in factors, in "Invariant Subspaces and Other Topics (Timişoara/Herculane, 1981)", Operator Theory: Adv. Appl. 6, Birkhäuser, Boston (1982), 89-102.
14. [KS] R.V. Kadison, I.M. Singer, Extensions of pure states, Amer. J. Math. 81 (1959), 383-400.
15. [P1] S. Popa, On a problem of R.V. Kadison on maximal abelian *-subalgebras in factors, Invent. Math. 65 (1981), 269-281.
16. [P2] S. Popa, Singular maximal abelian *-subalgebras in continuous von Neumann algebras, J. Funct. Anal. 50 (1983), 151-166.
17. [P3] S. Popa, Orthogonal pairs of *-subalgebras in finite von Neumann algebras, J. Operator Theory 9 (1983), 253-268.
18. [P4] S. Popa, Maximal injeetive subalgebras in factors associated with free groups, Adv. in Math. 50 (1983), 27-48.
19. 1 factors, preprint.
20. 1 factors with Betti number invariants, preprint.
21. [Pu1] L. Pukanszky, Some examples of factors, Publ. Math. Debrecen 4 (1956), 135-156.
22. 1, Canad. J. Math. 12 (1960), 289-296.
23. [SS1] A.M. Sinclair, R.R. Smith, Hochschild Cohomology of von Neumann Algebras, London Math. Soc. Lecture Note Series 203, Cambridge University Press, Cambridge, 1995.
24. 1 factors, preprint.
25. [T] R.J. Tauer, Maximal abelian subalgebras in finite factors of type II, Trans. Amer. Math. Soc. 114 (1965), 281-308.
26. [To] J. Tomiyama, On the projection of norm one in W*-algebras, Proc. Japan Acad. 33 (1957), 608-612.
27. [W] S. Wassermann, Injective W*-algebras, Math. Proc. Cam. Phil. Soc. 82 (1977), 39-47.