Z-stable ASH algebras
| dc.creator | Toms, Andrew S. | |
| dc.creator | Winter, Wilhelm | |
| dc.date | 2005-08-12 | |
| dc.date.accessioned | 2026-07-07T05:22:20Z | |
| dc.date.available | 2026-07-07T05:22:20Z | |
| dc.description | The Jiang--Su algebra Z has come to prominence in the classification program for nuclear C*-algebras of late, due primarily to the fact that Elliott's classification conjecture predicts that all simple, separable, and nuclear C*-algebras with unperforated K-theory will absorb Z tensorially (i.e., will be Z-stable). There exist counterexamples which suggest that the conjecture will only hold for simple, nuclear, separable and Z-stable C*-algebras. We prove that virtually all classes of nuclear C*-algebras for which the Elliott conjecture has been confirmed so far, consist of Z-stable C*-algebras. This result follows in large part from the following theorem, also proved herein: separable and approximately divisible C*-algebras are Z-stable. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508218 | |
| dc.identifier | http://arxiv.org/abs/math/0508218 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76019 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 46L85; 46L35 | |
| dc.title | Z-stable ASH algebras | |
| dc.type | text |