C*-crossed products and shift spaces
| dc.creator | Carlsen, Toke Meier | |
| dc.creator | Silvestrov, Sergei | |
| dc.date | 2005-12-21 | |
| dc.date.accessioned | 2026-07-07T12:51:59Z | |
| dc.date.available | 2026-07-07T12:51:59Z | |
| dc.description | In this article, we use Exel's construction to associate a C*-algebra to every shift space. We show that it has the C*-algebra defined in [Carlsen and Matsumoto: Some remarks on the C*-algebras associated with subshifts] as a quotient, and possesses properties indicating that it can be thought of as the universal C*-algebra associated to a shift space. We also consider its representations, relationship to other C*-algebras associated to shift spaces, show that it can be viewed as a generalization of the universal Cuntz-Krieger algebra, discuss uniqueness and a faithful representation, provide conditions for it being nuclear, for satisfying the UCT, for being simple, and for being purely infinite, show that the constructed algebras and thus their K-theory, $K_0$ and $K_1$, are conjugacy invariants of one-sided shift spaces, present formulas for those invariants, and also present a description of the structure of gauge invariant ideals. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0512488 | |
| dc.identifier | http://arxiv.org/abs/math/0512488 | |
| dc.identifier | Expo. Math. 25 (2007), no. 4, 275-307. | |
| dc.identifier | doi:10.1016/j.exmath.2007.02.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223165 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L65 (Primary) 46L55, 37B10, 54H20 (Secondary) | |
| dc.title | C*-crossed products and shift spaces | |
| dc.type | text |