On approximation properties of Pimsner algebras and crossed products by Hilbert bimodules
| dc.creator | Skalski, Adam | |
| dc.creator | Zacharias, Joachim | |
| dc.date | 2006-07-25 | |
| dc.date | 2008-04-03 | |
| dc.date.accessioned | 2026-07-07T09:29:56Z | |
| dc.date.available | 2026-07-07T09:29:56Z | |
| dc.description | Let X be a Hilbert bimodule over a C*-algebra A and $O_X= A \rtimes_X \Z$. Using a finite section method we construct a sequence of completely positive contractions factoring through matrix algebras over A which act on $s_ξ s_η^*$ as Schur multipliers converging to the identity. This shows immediately that for a finitely generated X the algebra $O_X$ inherits any standard approximation property such as nuclearity, exactness, CBAP or OAP from A. We generalise this to certain general Pimsner algebras by proving semi-splitness of the Toeplitz extension under certain conditions and discuss some examples. | |
| dc.description | 11 pages, v2 has a modified title, abstract and introduction. The paper will appear in the Rocky Mountain Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0607628 | |
| dc.identifier | http://arxiv.org/abs/math/0607628 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157972 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | Primary 46L05, Secondary 46B28 | |
| dc.title | On approximation properties of Pimsner algebras and crossed products by Hilbert bimodules | |
| dc.type | text |