Subalgebras of Graph C*-Algebras
| dc.creator | Hopenwasser, Alan | |
| dc.creator | Peters, Jurtin R. | |
| dc.creator | Power, Stephen C. | |
| dc.date | 2004-09-05 | |
| dc.date.accessioned | 2026-07-07T05:11:49Z | |
| dc.date.available | 2026-07-07T05:11:49Z | |
| dc.description | We prove a spectral theorem for bimodules in the context of graph C*-algebras. A bimodule over a suitable abelian algebra is determined by its spectrum (i.e., its groupoid partial order) iff it is generated by the Cuntz-Krieger partial isometries which it contains iff it is invariant under the gauge automorphisms. We study 1-cocycles on the Cuntz-Krieger groupoid associated with a graph C*-algebra, obtaining results on when integer valued or bounded cocycles on the natural AF subgroupoid extend. To a finite graph with a total order, we associate a nest subalgebra of the graph C*-algebra and then determine its spectrum. This is used to investigate properties of the nest subalgebra. We give a characterization of the partial isometries in a graph C*-algebra which normalize a natural diagonal subalgebra and use this to show that guage invariant generating triangular subalgebras are classified by their spectra. | |
| dc.identifier | https://arxiv.org/abs/math/0409075 | |
| dc.identifier | http://arxiv.org/abs/math/0409075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72374 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L40 | |
| dc.title | Subalgebras of Graph C*-Algebras | |
| dc.type | text |