Projective multi-resolution analyses arising from direct limits of Hilbert modules
| dc.creator | Larsen, Nadia S. | |
| dc.creator | Raeburn, Iain | |
| dc.date | 2007-01-10 | |
| dc.date.accessioned | 2026-07-07T07:39:49Z | |
| dc.date.available | 2026-07-07T07:39:49Z | |
| dc.description | The authors have recently shown how direct limits of Hilbert spaces can be used to construct multi-resolution analyses and wavelets in $L^2(\R)$. Here they investigate similar constructions in the context of Hilbert modules over $C^*$-algebras. For modules over $C(\T^n)$, the results shed light on work of Packer and Rieffel on projective multi-resolution analyses for specific Hilbert $C(\T^n)$-modules of functions on $\R^n$. There are also new applications to modules over $C(C)$ when $C$ is the infinite path space of a directed graph. | |
| dc.identifier | https://arxiv.org/abs/math/0701276 | |
| dc.identifier | http://arxiv.org/abs/math/0701276 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121593 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L99;42C15 | |
| dc.title | Projective multi-resolution analyses arising from direct limits of Hilbert modules | |
| dc.type | text |