A generalization of the Jiang-Su construction
| dc.creator | Sato, Yasuhiko | |
| dc.date | 2009-03-30 | |
| dc.date.accessioned | 2026-07-07T12:58:14Z | |
| dc.date.available | 2026-07-07T12:58:14Z | |
| dc.description | Let $G$ be a countable abelian group. We construct a unital simple projectionless C*-algebra $A$ with a unique tracial state, that satisfies $(K_0(A), [1_A]) \cong (\Z, 1) $, $K_1(A) \cong G$, absorbs the Jiang-Su algebra tensorially, and that is obtained as the inductive limit C*-algebra of a sequence of dimension drop algebras of a specific form. This construction is based on the construction of the Jiang-Su algebra. By this construction, we show a certain conjugacy result for aperiodic automorphisms of these projectionless C*-algebras. We also show that an automorphism of this projectoinless C*-algebra has a certain aperiodicity up to the weakly inner automorphisms in the tracial representation if and only if it has a kind of Rohlin property, which leads to the Rohlin property after taking tensor product of certain C*-algebras of real rank zero. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/0903.5286 | |
| dc.identifier | http://arxiv.org/abs/0903.5286 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225174 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L35, 46L40 | |
| dc.title | A generalization of the Jiang-Su construction | |
| dc.type | text |