| Title | Examples of HNN-extensions with nontrivial quasi-kernels |
| Publication Type | Journal Article |
| Year of Publication | 2020 |
| Authors | Ivanov NA |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 107 |
| Start Page | 107 |
| Pagination | 107-129 |
| ISSN | 1313-9215 (Print) 2603-5529 (Online) |
| Keywords | $C^*$-simplicity, HNN-extensions, inner amenability |
| Abstract | We introduce some examples of HNN-extensions motivated by the problems of $C^*$-simplicity and unique trace property. Moreover, we prove that our examples are not inner amenable and identify a relatively large, simple, normal subgroup in each one. |
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 107-107-129.pdf | 457.71 KB |