Log in :: RSS/Atom Feeds
Pacific Journal of Mathematics

Cohomology of actions of discrete groups on factors of type ${\rm II}_1$.

Yasuyuki Kawahigashi

Source: Pacific J. Math. Volume 149, Number 2 (1991), 303-317.

Primary Subjects: 46L55
Secondary Subjects: 46L37, 46L40

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102644465
Zentralblatt MATH identifier: 0718.46047
Zentralblatt MATH identifier: 0692.46060
Mathematical Reviews number (MathSciNet): MR1105700

References

[ACh] H. Araki and M. Choda, PropertyT and actions on the hyperfinite l\\-factor, Math. Japon., 28 (1983), 205-209.
Mathematical Reviews (MathSciNet): MR84m:46084
Zentralblatt MATH: 0534.46046
[Chi] M. Choda, A continuum of non-conjugate property T actions of SL(w, Z) on the hyperfinite Ih-factor, Math. Japon., 30 (1985), 133-150.
Mathematical Reviews (MathSciNet): MR87c:46067
[Ch2] M. Choda, Outer actions of groups with property T on the hyperfinite\l\-factor, Math. Japon., 31 (1986), 533-551.
Mathematical Reviews (MathSciNet): MR87k:46130
Zentralblatt MATH: 0612.46062
[Chr] E. Christensen, Subalgebras of a finite algebra, Math. Ann., 243 (1979), 17-
Mathematical Reviews (MathSciNet): MR80i:46051
Zentralblatt MATH: 0393.46049
[Cl] A. Connes, almost periodicstates andfactors of type Ii, J. Funct. Anal., 16 (1974),415-445.
Mathematical Reviews (MathSciNet): MR50:10840
Zentralblatt MATH: 0302.46050
[C2] A. Connes, Outer conjugacy classes of automorphisms of factors, Ann. Sci. Ecole Norm. Sup.,8 (1975), 383-419.
Mathematical Reviews (MathSciNet): MR52:15031
Zentralblatt MATH: 0342.46052
[C3] A. Connes, A factor of type IIi with countablefundamental group, J. Operator Theory, 4 (1980), 151-153.
Mathematical Reviews (MathSciNet): MR81j:46099
Zentralblatt MATH: 0455.46056
[CJ1] A. Connes and V. F. R. Jones, A IIi factor with two nonconjugate Cartan subalgebras,Bull. Amer. Math. Soc,6 (1982), 211-212.
Mathematical Reviews (MathSciNet): MR83d:46074
Zentralblatt MATH: 0501.46056
[CJ2] A. Connes and V. F. R. Jones, Property T for von Neumann algebras, Bull. London Math. Soc, 17 (1985), 57-62.
Mathematical Reviews (MathSciNet): MR86a:46083
[CS] A. Connes and E. Stormer, Entropyfor automorphisms of Hi vonNeumann algebras,Acta Math., 134 (1975), 289-306.
Mathematical Reviews (MathSciNet): MR56:12906
Zentralblatt MATH: 0326.46032
[CW] A. Connes and B. Weiss, Property T and asymptotically invariant sequences, Israel J. Math., 37 (1980), 209-210.
Mathematical Reviews (MathSciNet): MR82e:28023b
Zentralblatt MATH: 0479.28017
[E] E. G. EfFros, Transformation groups and C*-algebras, Ann. Math.,81 (1965), 38-55.
Mathematical Reviews (MathSciNet): MR30:5175
Zentralblatt MATH: 0152.33203
[G] F. P. Greenleaf, Invariant Means on Topological Groups and Their Applica- tions, van Nostrand, NewYork, 1969.
Mathematical Reviews (MathSciNet): MR40:4776
Zentralblatt MATH: 0174.19001
[Jl] V. F. R. Jones,Actions of discretegroups onfactors, in Operatoralgebras and applications,Part 2 (Kingston,OnL, 1980), Proc. Sympos. Pure Math. Vol.
Mathematical Reviews (MathSciNet): MR84a:46139
Zentralblatt MATH: 0503.46045
[38] Amer. Math. Soc, Providence, R.I., 1982, pp.167-177.
[J2] Amer. Math. Soc,A converseto Ocneanu's theorem,J. Operator Theory, 10 (1983), 61-63^_
[K] D. Kazhdan, Connection of the dual space of a group with the structure of its - closed subgroups,Funct. Anal. Appl., 1 (1967), 63-65.
Mathematical Reviews (MathSciNet): MR35:288
[O] A. Ocneanu, Actions of discreteamenablegroups onfactors, Lecture Notes in Math. No. 1138, Springer, Berlin, 1985.
Mathematical Reviews (MathSciNet): MR87e:46091
[OW] D. Ornstein and B. Weiss, Entropy and isomorphism theoremsfor actions of amenable groups, J. Analyse Math., 48 (1987), 1-141.
Mathematical Reviews (MathSciNet): MR88j:28014
Zentralblatt MATH: 0637.28015
[S] K. Schmidt, Amenability>, Kazhdan 's property T, strong ergodicity and in- variant means for ergodicgroup-actions, Ergodic Theory Dynamical Systems, 1 (1981), 223-226.
Mathematical Reviews (MathSciNet): MR83m:43001
Zentralblatt MATH: 0485.28019
[Zl] R. J. Zimmer, On the cohomology of ergodicactions ofsemisimple Lie groups and discretesubgroups, Amer. J. Math., 103 (1981), 937-950.
Mathematical Reviews (MathSciNet): MR83g:28037
Zentralblatt MATH: 0475.22011
[Z2] R. J. Zimmer, Ergodic Theory and Semisimple Groups, Birkhauser, 1984.
Mathematical Reviews (MathSciNet): MR86j:22014
Zentralblatt MATH: 0571.58015

2010 © Pacific Journal of Mathematics