Examples of HNN-extensions with nontrivial quasi-kernels

Authors

DOI:

https://doi.org/10.60063/gsu.fmi.107.107-129

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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Published

2020-12-12

How to Cite

Ivanov, N. (2020). Examples of HNN-extensions with nontrivial quasi-kernels. Ann. Sofia Univ. Fac. Math. And Inf., 107, 107–129. https://doi.org/10.60063/gsu.fmi.107.107-129

Issue

Vol. 107 (2020): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles