On positivity of the Kadison constant and noncommutative Bloch theory
| dc.creator | Mathai, Varghese | |
| dc.date | 2000-10-30 | |
| dc.date | 2001-05-06 | |
| dc.date.accessioned | 2026-07-07T04:38:21Z | |
| dc.date.available | 2026-07-07T04:38:21Z | |
| dc.description | In an earlier paper, we established a natural connection between the Baum-Connes conjecture and noncommutative Bloch theory, viz. the spectral theory of projectively periodic elliptic operators on covering spaces. We elaborate on this connection here and provide significant evidence for a fundamental conjecture in noncommutative Bloch theory on the non-existence of Cantor set type spectrum. This is accomplished by establishing an explicit lower bound for the Kadison constant of twisted group C*-algebras in a large number of cases, whenever the multiplier is rational. | |
| dc.description | Latex2e, 16 pages, final version, to appear in a special issue of Tohoku Math. J. (in press) | |
| dc.identifier | https://arxiv.org/abs/math/0010309 | |
| dc.identifier | http://arxiv.org/abs/math/0010309 | |
| dc.identifier | Tohoku Math. Publ., 20 (2001) 107-124 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60247 | |
| dc.subject | Differential Geometry | |
| dc.subject | 19K56, 46L80, 46L87 | |
| dc.title | On positivity of the Kadison constant and noncommutative Bloch theory | |
| dc.type | text |