Inductive limit algebras from periodic weighted shifts on Fock space
| dc.creator | Kribs, David W. | |
| dc.date | 2004-11-23 | |
| dc.date.accessioned | 2026-07-07T05:14:37Z | |
| dc.date.available | 2026-07-07T05:14:37Z | |
| dc.description | Non-commutative multivariable versions of weighted shift operators arise naturally as `weighted' left creation operators acting on the Fock space Hilbert space. We identify a natural notion of periodicity for these $N$-tuples, and then find a family of inductive limit algebras determined by the periodic weighted shifts which can be regarded as non-commutative multivariable generalizations of the Bunce-Deddens C*-algebras. We establish this by proving that the C*-algebras generated by shifts of a given period are isomorphic to full matrix algebras over Cuntz-Toeplitz algebras. This leads to an isomorphism theorem which parallels the Bunce-Deddens and UHF classification scheme. | |
| dc.description | 18 pages, preprint version. Paper can also be found at http://nyjm.albany.edu:8000/j/2002/8-9.pdf | |
| dc.identifier | https://arxiv.org/abs/math/0411520 | |
| dc.identifier | http://arxiv.org/abs/math/0411520 | |
| dc.identifier | New York J. Math. 8 (2002), 145-159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73344 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.title | Inductive limit algebras from periodic weighted shifts on Fock space | |
| dc.type | text |