Orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
| dc.creator | Matsumoto, Kengo | |
| dc.date | 2007-07-14 | |
| dc.date.accessioned | 2026-07-07T08:18:23Z | |
| dc.date.available | 2026-07-07T08:18:23Z | |
| dc.description | We will prove that one-sided topological Markov shifts $(X_A,σ_A)$ and $(X_B,σ_B)$ for matrices $A$ and $B$ with entries in $\{0,1\}$ are topologically orbit equivalent if and only if there exists an isomorphism between the Cuntz-Krieger algebras ${\Cal O}_A$ and ${\Cal O}_B$ keeping their commutative $C^*$-subalgerbas $C(X_A)$ and $C(X_B)$. It is also equivalent to the condition that there exists a homeomorphism from $X_A$ to $X_B$ intertwining their topological full groups. We will also study structure of the automorphisms of ${\Cal O}_A$ keeping the commutative $C^*$-algebra $C(X_A)$. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/0707.2114 | |
| dc.identifier | http://arxiv.org/abs/0707.2114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134413 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.subject | 46L55 | |
| dc.title | Orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras | |
| dc.type | text |