Classification of simple C*-algebras and higher dimensional noncommutative tori
| dc.creator | Lin, Huaxin | |
| dc.date | 2003-11-24 | |
| dc.date.accessioned | 2026-07-07T05:03:12Z | |
| dc.date.available | 2026-07-07T05:03:12Z | |
| dc.description | We show that unital simple C*-algebras with tracial topological rank zero which are locally approximated by subhomogeneous C^-algebras can be classified by their ordered $K$-theory. We apply this classification result to show that certain simple crossed products are isomorphic if they have the same ordered $K$-theory. In particular, irrational higher dimensional non-commutative tori of the form $C({\mathbb T}^k)\times_θ{\mathbb Z}$ are in fact inductive limits of circle algebras. | |
| dc.description | 24 pages published version | |
| dc.identifier | https://arxiv.org/abs/math/0311415 | |
| dc.identifier | http://arxiv.org/abs/math/0311415 | |
| dc.identifier | Ann. of Math. (2), Vol. 157 (2003), no. 2, 521--544 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69318 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.title | Classification of simple C*-algebras and higher dimensional noncommutative tori | |
| dc.type | text |