Cuntz-Li relations, inverse semigroups and groupoids
In this paper we show that the universal C*-algebra satisfying the Cuntz-Li relations is generated by an inverse semigroup of partial isometries. We apply Exel’s theory of tight representations to this inverse semigroup. We identify the universal C*-algebra as the C*-algebra of the tight groupoid as...
| Verfasser: | |
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| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2012 |
| Publikation in MIAMI: | 23.10.2012 |
| Datum der letzten Änderung: | 06.01.2023 |
| Quelle: | Münster Journal of Mathematics, 5 (2012), S. 151-182 |
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-88399588483 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-88399588483 |
| Onlinezugriff: | mjm_vol_5_09.pdf |
In this paper we show that the universal C*-algebra satisfying the Cuntz-Li relations is generated by an inverse semigroup of partial isometries. We apply Exel’s theory of tight representations to this inverse semigroup. We identify the universal C*-algebra as the C*-algebra of the tight groupoid associated to the inverse semigroup.