Cohomology groups, multipliers and factors in ergodic theory
Studia Mathematica (1997)
- Volume: 122, Issue: 3, page 275-288
- ISSN: 0039-3223
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topLemańczyk, M.. "Cohomology groups, multipliers and factors in ergodic theory." Studia Mathematica 122.3 (1997): 275-288. <http://eudml.org/doc/216375>.
@article{Lemańczyk1997,
abstract = {The problem of compact factors in ergodic theory and its relationship with the problem of extending a cocycle to a cocycle of a larger action are studied.},
author = {Lemańczyk, M.},
journal = {Studia Mathematica},
keywords = {ergodic automorphism; centralizer; factor; cocycle; coboundary},
language = {eng},
number = {3},
pages = {275-288},
title = {Cohomology groups, multipliers and factors in ergodic theory},
url = {http://eudml.org/doc/216375},
volume = {122},
year = {1997},
}
TY - JOUR
AU - Lemańczyk, M.
TI - Cohomology groups, multipliers and factors in ergodic theory
JO - Studia Mathematica
PY - 1997
VL - 122
IS - 3
SP - 275
EP - 288
AB - The problem of compact factors in ergodic theory and its relationship with the problem of extending a cocycle to a cocycle of a larger action are studied.
LA - eng
KW - ergodic automorphism; centralizer; factor; cocycle; coboundary
UR - http://eudml.org/doc/216375
ER -
References
top- [1] V. Bargman, On unitary ray representations of continuous groups, Ann. of Math. 59 (1954), 1-46.
- [2] A. I. Danilenko, Comparison of cocycles of a measured equivalence relation and lifting problems, Ergodic Theory Dynam. Systems, to appear. Zbl0919.28015
- [3] P. Gabriel, M. Lemańczyk and K. Schmidt, Extensions of cocycles for hyperfinite actions, and applications, Monatsh. Math. (1996), to appear. Zbl0887.28008
- [4] A. del Junco, M. Lemańczyk and M. K. Mentzen, Semisimplicity, joinings and group extensions, Studia Math. 112 (1995), 141-164. Zbl0814.28007
- [5] A. del Junco and D. Rudolph, On ergodic actions whose self-joinings are graphs, Ergodic Theory Dynam. Systems 7 (1987), 531-557. Zbl0646.60010
- [6] K. Kuratowski and C. Ryll-Nardzewski, A general theorem on selectors, Bull. Acad. Polon. Sci. 13 (1965), 397-403. Zbl0152.21403
- [7] J. Kwiatkowski, Factors of ergodic group extensions of rotations, Studia Math. 103 (1992), 123-131. Zbl0809.28014
- [8] M. Lemańczyk, Ergodic Compact Abelian Group Extensions of Rotations, Publ. N. Copernicus University, 1990 (habilitation).
- [9] M. Lemańczyk and M. K. Mentzen, Compact subgroups in the centralizer of natural factors of an ergodic group extension of a rotation determine all factors, Ergodic Theory Dynam. Systems 10 (1990), 763-776. Zbl0725.54030
- [10] G. W. Mackey, Borel structures in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134-169. Zbl0082.11201
- [11] M. K. Mentzen, Ergodic properties of group extensions of dynamical systems with discrete spectra, Studia Math. 101 (1991), 19-31. Zbl0809.28015
- [12] C. C. Moore and K. Schmidt, Coboundaries and homomorphisms for non-singular actions and a problem of H. Helson, Proc. London Math. Soc. 40 (1980), 443-475. Zbl0428.28014
- [13] D. Newton, On canonical factors of ergodic dynamical systems, J. London Math. Soc. 19 (1979), 129-136. Zbl0425.28012
- [14] K. R. Parthasarathy, Multipliers on Locally Compact Groups, Lecture Notes in Math. 93, Springer, 1969. Zbl0188.20202
- [15] K. Schmidt, Cocycles of Ergodic Transformation Groups, Lecture Notes in Math. 1, Mac Millan of India, 1977. Zbl0421.28017
- [16] J.-P. Thouvenot, Some properties and applications of joinings in ergodic theory, in: Ergodic Theory and its Connections with Harmonic Analysis, London Math. Soc., 1995, 207-235. Zbl0848.28009
- [17] W. A. Veech, A criterion for a process to be prime, Monatsh. Math. 94 (1982), 335-341. Zbl0499.28016
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