Isomorphisms between Leavitt algebras and their matrix rings
| dc.creator | Abrams, G. | |
| dc.creator | ánh, P. N. | |
| dc.creator | Pardo, E. | |
| dc.date | 2006-12-19 | |
| dc.date | 2008-02-22 | |
| dc.date.accessioned | 2026-07-07T09:22:35Z | |
| dc.date.available | 2026-07-07T09:22:35Z | |
| dc.description | Let $K$ be any field, let $L_n$ denote the Leavitt algebra of type $(1,n-1)$ having coefficients in $K$, and let ${\rm M}_d(L_n)$ denote the ring of $d \times d$ matrices over $L_n$. In our main result, we show that ${\rm M}_d(L_n) \cong L_n$ if and only if $d$ and $n-1$ are coprime. We use this isomorphism to answer a question posed in \cite{PS} regarding isomorphisms between various C*-algebras. Furthermore, our result demonstrates that data about the $K_0$ structure is sufficient to distinguish up to isomorphism the algebras in an important class of purely infinite simple $K$-algebras. | |
| dc.description | Final version. To appear in J. reine Angew. Math | |
| dc.identifier | https://arxiv.org/abs/math/0612552 | |
| dc.identifier | http://arxiv.org/abs/math/0612552 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155426 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Operator Algebras | |
| dc.subject | 16D70, 46L05 | |
| dc.title | Isomorphisms between Leavitt algebras and their matrix rings | |
| dc.type | text |