A relationship between HNN extensions and amalgamated free products in operator algebras
| dc.creator | Ueda, Yoshimichi | |
| dc.date | 2006-01-29 | |
| dc.date | 2008-04-02 | |
| dc.date.accessioned | 2026-07-07T09:29:44Z | |
| dc.date.available | 2026-07-07T09:29:44Z | |
| dc.description | With a minor change made in the previous construction we observe that any reduced HNN extension is precisely a compressed algebra of a certain reduced amalgamated free product in both the von Neumann algebra and the $C^*$-algebra settings. It is also pointed out that the same fact holds true even for universal HNN extensions of C$^*$-algebras. We apply the observation to the questions of factoriality and type classification of HNN extensions of von Neumann algebras and also those of simplicity and $K$-theory of (reduced or universal) HNN extensions of $C^*$-algebras. | |
| dc.description | A few corrections made; the revised and expanded version of this paper with the new title has been accepted in Illinois J. Math | |
| dc.identifier | https://arxiv.org/abs/math/0601706 | |
| dc.identifier | http://arxiv.org/abs/math/0601706 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157893 | |
| dc.subject | Operator Algebras | |
| dc.title | A relationship between HNN extensions and amalgamated free products in operator algebras | |
| dc.type | text |