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Veksler, A. S.; Fedorov, A. L.

Conjugacy of homomorphisms of locally compact groups into the outer group of a measurable equivalence relation. (English. Russian original) Zbl 0671.22002

Funct. Anal. Appl. 22, No. 4, 318-319 (1988); translation from Funkts. Anal. Prilozh. 22, No. 4, 74-75 (1988).
See the review in Zbl 0662.22002.

MSC:

22D40 Ergodic theory on groups
43A05 Measures on groups and semigroups, etc.
28D05 Measure-preserving transformations
28D15 General groups of measure-preserving transformations

Keywords:

adjointness of homomorphisms; locally compact groups; measurable; equivalence relations

Citations:

Zbl 0662.22002
Cite Review PDF
Full Text: DOI

References:

[1] A. Connes, Ann. Sci. Ec. Norm. Sup., No. 8, 383-420 (1975).
[2] A. Connes and W. Krieger, J. Funct. Anal.,24, 336-352 (1977). · Zbl 0369.28013 · doi:10.1016/0022-1236(77)90062-3
[3] S. I. Bezuglyi and V. Ya. Golodets, Izv. Akad. Nauk SSSR, Ser. Mat.,50, No. 4, 643-660 (1986).
[4] S. I. Bezuglyi and V. Ya. Golodets, Dokl. Akad. Nauk SSSR,254, No. 1, 11-14 (1980).
[5] B. A. Rubshtein and A. L. Fedorov, ”On subgroups of a complete ergodic group. I, II,” Dep. in UzNIINTI, No. 185, 186 Uz-D84, Tashkent (1984).
[6] B. A. Rubshtein and A. L. Fedorov, Funkts. Anal. Prilozhen.,20, No. 2, 82-83 (1986).
[7] A. L. Fedorov, Dokl. Akad. Nauk SSSR,285, No. 1, 49-52 (1985).
[8] V. Ya. Golodets and S. D. Sinel’schchikov, Preprint FTINT, No. 21-85, Kharkov (1985).
[9] A. S. Veksler and A. L. Fedorov, Dokl. Akad. Nauk UzSSR, No. 1, 12-14 (1987).
[10] A. S. Veksler and A. L. Fedorov, Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk, No. 2, 16-21 (1987).
[11] A. Ramsay, ”Topologies of measured groupoids,” Preprint, Univ. of Colorado, Colorado (1981). · Zbl 0519.22002
[12] A. L. Fedorov, ”Krieger’s theorem for cocycles,” Dep. in VINITI, No. 1407-85 DEP, Tashkent (1985).
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