The unique trace property of n-periodic product of groups

被引：0
作者：
V. S. Atabekyan
A. L. Gevorgyan
Sh. A. Stepanyan
机构：
[1] Yerevan State University,
[2] Russian-Armenian University,undefined
来源：
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2017年 / 52卷
关键词：
Periodic group; periodic product of groups; automorphism group; reduced C*-algebra of a group;
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摘要：
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.
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页码：161 / 165
页数：4
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