Simple nuclear $C^*$-algebras of tracial topological rank one
| dc.creator | Lin, Huaxin | |
| dc.date | 2004-01-19 | |
| dc.date | 2004-11-11 | |
| dc.date.accessioned | 2026-07-07T05:04:40Z | |
| dc.date.available | 2026-07-07T05:04:40Z | |
| dc.description | We give a classification theorem for unital separable nuclear simple \CA s with tracial rank no more than one. Let $A$ and $B$ be two unital separable simple nuclear \CA s with $TR(A), TR(B)\le 1$ which satisfy the universal coefficient theorem. We show that $A\cong B$ if and only if $$ (K_0(A), K_0(A)_+, [1_A], K_1(A), T(A)) \cong (K_0(B), K_0(B)_+, [1_B], K_1(B), T(B)). $$ | |
| dc.identifier | https://arxiv.org/abs/math/0401240 | |
| dc.identifier | http://arxiv.org/abs/math/0401240 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69896 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 46L35 | |
| dc.title | Simple nuclear $C^*$-algebras of tracial topological rank one | |
| dc.type | text |