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A \(\text{II}_1\) factor with two nonconjugate Cartan subalgebras. (English) Zbl 0501.46056


MSC:

46L10 General theory of von Neumann algebras
46L35 Classifications of \(C^*\)-algebras
28D05 Measure-preserving transformations
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References:

[1] A. Connes, A factor of type \?\?\(_{1}\) with countable fundamental group, J. Operator Theory 4 (1980), no. 1, 151 – 153. · Zbl 0455.46056
[2] A. Connes, J. Feldman and B. Weiss, Amenable equivalence relations (preprint, 1980). · Zbl 0491.28018
[3] H. A. Dye, On groups of measure preserving transformations. II, Amer. J. Math. 85 (1963), 551 – 576. · Zbl 0191.42803 · doi:10.2307/2373108
[4] Jacob Feldman and Calvin C. Moore, Ergodic equivalence relations, cohomology, and von Neumann algebras. I, Trans. Amer. Math. Soc. 234 (1977), no. 2, 289 – 324. , https://doi.org/10.1090/S0002-9947-1977-0578656-4 Jacob Feldman and Calvin C. Moore, Ergodic equivalence relations, cohomology, and von Neumann algebras. II, Trans. Amer. Math. Soc. 234 (1977), no. 2, 325 – 359. · Zbl 0369.22009
[5] V. Jones, A converse to Ocneanu’s theorem (preprint, 1981). · Zbl 0547.46045
[6] Dusa McDuff, Central sequences and the hyperfinite factor, Proc. London Math. Soc. (3) 21 (1970), 443 – 461. · Zbl 0204.14902 · doi:10.1112/plms/s3-21.3.443
[7] Klaus Schmidt, Asymptotically invariant sequences and an action of \?\?(2,\?) on the 2-sphere, Israel J. Math. 37 (1980), no. 3, 193 – 208. , https://doi.org/10.1007/BF02760961 A. Connes and B. Weiss, Property \? and asymptotically invariant sequences, Israel J. Math. 37 (1980), no. 3, 209 – 210. · Zbl 0479.28017 · doi:10.1007/BF02760962
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