Principal Ideals in Subalgebras of Groupoid C*-Algebras
| dc.creator | Krishnan, Srilal | |
| dc.date | 2001-04-17 | |
| dc.date | 2001-04-20 | |
| dc.date.accessioned | 2026-07-07T04:41:20Z | |
| dc.date.available | 2026-07-07T04:41:20Z | |
| dc.description | The study of different types of ideals in non self-adjoint operator algebras has been a topic of recent research. This study focuses on principal ideals in subalgebras of groupoid C*-algebras. An ideal is said to be principal if it is generated by a single element of the algebra. We look at subalgebras of r-discrete principal groupoid C*-algebras and prove that these algebras are principal ideal algebras. Regular canonical subalgebras of almost finite C*-algebras have digraph algebras as their building blocks. The spectrum of almost finite C*-algebras has the structure of an r-discrete principal groupoid and this helps in the coordinization of these algebras. Regular canonical subalgebras of almost finite C*-algebras have representations in terms of open subsets of the spectrum for the enveloping C*-algebra. We conclude that regular canonical subalgebras are principal ideal algebras. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0104163 | |
| dc.identifier | http://arxiv.org/abs/math/0104163 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61317 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L40 | |
| dc.title | Principal Ideals in Subalgebras of Groupoid C*-Algebras | |
| dc.type | text |