Gauge Invariant Uniqueness Theorem for Corners of k-graphs
| dc.creator | Allen, Stephen | |
| dc.date | 2005-06-29 | |
| dc.date.accessioned | 2026-07-07T05:21:13Z | |
| dc.date.available | 2026-07-07T05:21:13Z | |
| dc.description | For a finitely aligned k-graph $Λ$ with X a set of vertices in $Λ$ we define a universal C*-algebra called $C^*(Λ,X)$ generated by partial isometries. We show that $C^*(Λ,X)$ is isomorphic to the corner $P_XC^*(Λ)P_X$, where $P_X$ is the sum of vertex projections in X. We then prove a version of the Gauge Invariant Uniqueness Theorem for $C^*(Λ,X)$, and then use the theorem to prove various results involving fullness, simplicity and Morita equivalence as well as new results involving symbolic dynamics. | |
| dc.description | 12 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0506582 | |
| dc.identifier | http://arxiv.org/abs/math/0506582 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75607 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 | |
| dc.title | Gauge Invariant Uniqueness Theorem for Corners of k-graphs | |
| dc.type | text |