Strongly self-absorbing C*-algebras
| dc.creator | Toms, Andrew S. | |
| dc.creator | Winter, Wilhelm | |
| dc.date | 2005-02-10 | |
| dc.date | 2005-08-31 | |
| dc.date.accessioned | 2026-07-07T05:16:52Z | |
| dc.date.available | 2026-07-07T05:16:52Z | |
| dc.description | Say that a separable, unital C*-algebra D is strongly self-absorbing if there exists an isomorphism $ϕ: D \to D \otimes D$ such that $ϕ$ and $id_D \otimes 1_D$ are approximately unitarily equivalent $*$-homomorphisms. We study this class of algebras, which includes the Cuntz algebras $\mathcal{O}_2$, $\mathcal{O}_{\infty}$, the UHF algebras of infinite type, the Jiang--Su algebra Z and tensor products of $\Oh_{\infty}$ with UHF algebras of infinite type. Given a strongly self-absorbing C*-algebra D we characterise when a separable C*-algebra absorbs D tensorially (i.e., is D-stable), and prove closure properties for the class of separable D-stable C*-algebras. Finally, we compute the possible K-groups and prove a number of classification results which suggest that the examples listed above are the only strongly self-absorbing C*-algebras. | |
| dc.description | 31 pages. Some minor errors corrected, table of reference updated. Exposition of Section 4 slightly improved. To appear in Trans. AMS | |
| dc.identifier | https://arxiv.org/abs/math/0502211 | |
| dc.identifier | http://arxiv.org/abs/math/0502211 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74147 | |
| dc.subject | Operator Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 46L85; 46L35 | |
| dc.title | Strongly self-absorbing C*-algebras | |
| dc.type | text |