Examples of HNN-extensions with nontrivial quasi-kernels

TitleExamples of HNN-extensions with nontrivial quasi-kernels
Publication TypeJournal Article
Year of Publication2020
AuthorsIvanov NA
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Start Page107
ISSN1313-9215 (Print) 2603-5529 (Online)
Keywords$C^*$-simplicity, HNN-extensions, inner amenability

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.

PDF icon 107-107-129.pdf457.71 KB