Characterizing Liminal And Type I Graph C*-Algebras
| dc.creator | Ephrem, Menassie | |
| dc.date | 2002-11-15 | |
| dc.date | 2003-04-01 | |
| dc.date.accessioned | 2026-07-07T04:52:58Z | |
| dc.date.available | 2026-07-07T04:52:58Z | |
| dc.description | We prove that the C*-algebra of a directed graph $E$ is liminal iff the graph satisfies the finiteness condition: if $p$ is an infinite path or a path ending with a sink or an infinite emitter, and if $v$ is any vertex, then there are only finitely many paths starting with $v$ and ending with a vertex in $p$. Moreover, C*(E) is Type I precisely when the circuits of $E$ are either terminal or transitory, i.e., $E$ has no vertex which is on multiple circuits, and $E$ satisfies the weaker condition: for any infinite path $λ$, there are only finitely many vertices of $λ$ that get back to $λ$ in an infinite number of ways. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211241 | |
| dc.identifier | http://arxiv.org/abs/math/0211241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65672 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 46L35; 46L55 | |
| dc.title | Characterizing Liminal And Type I Graph C*-Algebras | |
| dc.type | text |