Abstract
We consider certain properties of *-wild groups and prove that periodic groups are not *-wild.
References
S. A. Kruglyak and Yu. S. Samoilenko, “On unitary equivalence of sets of self-adjoint operators,” Funkts. Anal. Prilozh., 14, No. 1, 60–62 (1980).
S. Kruglyak and A. Piryatinskaya, On “Wild” *-Algebras and the Unitary Classification of Weakly Centred Operators, Preprint No. 96;11, Institute of Mittag-Leffler, Swedish R. Academy of Sciences (1995).
A. Yu. Pyryatinskaya, Tame and Wild Problems in the Theory of Representations of *-Albebras [in Russian], Author’s Abstract of the Candidate Degree Thesis (Physics and Mathematics), Kiev (1995).
A. Yu. Pyryatinskaya and Yu. S. Samoilenko, “Wild problems in the theory of representations of *-algebras, which are generated by generators and relations,” Ukr. Mat. Zh. 47, No. 1, 74–78 (1995).
A. A. Kirillov, Elements of the Theory of Representations [in Russian], Nauka, Kiev (1972).
A. Yu. Ol’shanskii, “An infinite prime torsion-free Noetherian group,” Izv. Akad. Nauk SSSR, Ser. Mat., 43, No. 6, 1328–1393 (1979).
S. I. Apyan, “Random walk on free periodic groups,” Izv. Akad. Nauk SSSR, Ser. Mat., 46, No. 6, 1139–1149 (1982).
Additional information
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 5, pp. 729–730, May, 1997.
Rights and permissions
About this article
Cite this article
Kalutskii, S.A., Samoilenko, Y.S. Periodic groups are not *-wild. Ukr Math J 49, 816–817 (1997). https://doi.org/10.1007/BF02486464
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02486464