On the K-theory of higher rank graph C*-algebras
| dc.creator | Evans, D. Gwion | |
| dc.date | 2004-06-23 | |
| dc.date | 2007-12-18 | |
| dc.date.accessioned | 2026-07-07T08:49:46Z | |
| dc.date.available | 2026-07-07T08:49:46Z | |
| dc.description | Given a row-finite $k$-graph $Λ$ with no sources we investigate the $K$-theory of the higher rank graph $C^*$-algebra, $C^*(Λ)$. When $k=2$ we are able to give explicit formulae to calculate the $K$-groups of $C^*(Λ)$. The $K$-groups of $C^*(Λ)$ for $k>2$ can be calculated under certain circumstances and we consider the case $k=3$. We prove that for arbitrary $k$, the torsion-free rank of $K_0(C^*(Λ))$ and $K_1(C^*Λ))$ are equal when $C^*(Λ)$ is unital, and for $k=2$ we determine the position of the class of the unit of $C^*(Λ)$ in $K_0(C^*(Λ))$. | |
| dc.description | 23 pages. To appear in the New York Journal of Mathematics (http://nyjm.albany.edu:8000/). Revisions include: a different numbering system for sections, theorems and related parts; correction of typographical errors; re-organisation of results; and addition of examples (Section 5) | |
| dc.identifier | https://arxiv.org/abs/math/0406458 | |
| dc.identifier | http://arxiv.org/abs/math/0406458 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144418 | |
| dc.subject | Operator Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 46L80 (Primary); 46L35 (Secondary) | |
| dc.title | On the K-theory of higher rank graph C*-algebras | |
| dc.type | text |