The unique trace property of n-periodic product of groups
- Autores: Atabekyan V.1, Gevorgyan A.2, Stepanyan S.1
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Afiliações:
- Yerevan State University
- Russian-Armenian University
- Edição: Volume 52, Nº 4 (2017)
- Páginas: 161-165
- Seção: Algebra
- URL: https://journals.rcsi.science/1068-3623/article/view/228051
- DOI: https://doi.org/10.3103/S106836231704001X
- ID: 228051
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Resumo
In this paper we prove the unique trace property of C*-algebras of n-periodic products of arbitrary family of groups without involutions. We show that the free Burnside groups B(m, n) and their automorphism groups also possess the unique trace property. Also, we show that every countable group is embedded into some 3-generated group with the unique trace property, while every countable periodic group of bounded period and without involutions is embedded into some 3- generated periodic group G of bounded period with the unique trace property. Moreover, as a group G can be chosen both simple and not simple group.
Sobre autores
V. Atabekyan
Yerevan State University
Autor responsável pela correspondência
Email: varujan@atabekyan.am
Armênia, Yerevan
A. Gevorgyan
Russian-Armenian University
Email: varujan@atabekyan.am
Armênia, Yerevan
Sh. Stepanyan
Yerevan State University
Email: varujan@atabekyan.am
Armênia, Yerevan