$C^\ast$-simple groups without free subgroups
Autor: | Olshanskii, A. Yu., Osin, D. V. |
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Rok vydání: | 2014 |
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Druh dokumentu: | Working Paper |
Popis: | We construct first examples of non-trivial groups without non-cyclic free subgroups whose reduced $C^\ast$-algebra is simple and has unique trace. This answers a question of de la Harpe. Both torsion and torsion free examples are provided. In particular, we show that the reduced $C^\ast$-algebra of the free Burnside group $B(m,n)$ of rank $m\ge 2$ and any sufficiently large odd exponent $n$ is simple and has unique trace. |
Databáze: | arXiv |
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