Geodesic
Nonfree actions of countable groups and their characters
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Tome 378 (2010), pp. 5-16 
A. M. Vershik. Nonfree actions of countable groups and their characters. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Tome 378 (2010), pp. 5-16. http://geodesic.mathdoc.fr/item/ZNSL_2010_378_a0/
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     title = {Nonfree actions of countable groups and their characters},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We introduce a number of definitions of nonfree actions of groups. The most important of them is that of a totally nonfree action; it is naturally related to the theory of characters of groups and their factor representations. This short note is a brief exposition of a part of a more detailed paper on this subject, which is now in preparation. Bibl. 8 titles.

[1] A. Vershik, Non-free actions of countable groups and their representations, in preparation

[2] R. Schmidt, Subgroup Lattices of Groups, Walter de Gruyter, Berlin–New York, 1994 | MR | Zbl

[3] J. Dixmier, Les $C^*$-algèbres et leur representations, Gauthier-Villars, Paris, 1964 | MR | Zbl

[4] D. D'ngeli, A. Donno, M. Matter, T. Nagnibeda, “Schreier graphs of the Basilica group”, J. Modern Dynamics, 4:1 (2010), 167–205 | DOI | MR

[5] M. Takesaki, Theory of Operator Algebras, v. 3, Springer-Verlag, Berlin, 2003 | Zbl

[6] J. Renault, Groupoid Approach to $C^*$-Algebras, Lect. Notes in Math., 793, Springer-Verlag, Berlin–New York, 1980 | MR | Zbl

[7] A. M. Vershik, S. V. Kerov, “Kharaktery i faktor-predstavleniya beskonechnoi simmetricheskoi gruppy”, DAN SSSR, 257:5 (1981), 1037–1040 | MR | Zbl

[8] H. Dye, “On groups of measure preserving transformations. I”, Amer. J. Math., 81:1 (1959), 119–159 ; “II”, 85:4 (1963), 551–576 | DOI | MR | Zbl | DOI | MR | Zbl