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: Sundar, S.
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
LEADER 01578cam a2200301uu 4500
001 b8aa2985-e7be-456e-85c3-959116fcaafa
003 miami
005 20230106
007 c||||||||||||a|
008 121023e20121023||||||||||#s||||||||eng||||||
024 7 |a urn:nbn:de:hbz:6-88399588483  |2 urn 
041 |a eng 
082 0 |a 510 Mathematik  |2 23 
100 1 |a Sundar, S.  |4 aut 
110 2 |a Universitäts- und Landesbibliothek Münster  |0 http://d-nb.info/gnd/5091030-9  |4 own 
245 1 0 |a Cuntz-Li relations, inverse semigroups and groupoids 
250 |a [Electronic ed.] 
264 1 |c 2012 
264 2 |b Universitäts- und Landesbibliothek Münster  |c 2012-10-23 
300 |a 151-182 
506 0 |a free access 
520 3 |a 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. 
540 |a InC 1.0  |u https://rightsstatements.org/vocab/InC/1.0/ 
655 7 |2 DRIVER Types  |a Artikel 
655 7 |2 DCMI Types  |a Text 
773 1 |t Münster Journal of Mathematics  |g 5 (2012), S. 151-182  |i IsPartOf  |w (miami)ce76fa65-011b-4fc1-b02f-d08ca31bf0ad 
856 4 0 |3 Zum Volltext  |q text/html  |u https://nbn-resolving.de/urn:nbn:de:hbz:6-88399588483  |u urn:nbn:de:hbz:6-88399588483 
856 4 0 |3 Zum Volltext  |q application/pdf  |u https://repositorium.uni-muenster.de/document/miami/b8aa2985-e7be-456e-85c3-959116fcaafa/mjm_vol_5_09.pdf