Moments of the Generating Operator of Two Copies of L(F_2)'s over L(F_1)
| dc.creator | Cho, Ilwoo | |
| dc.date | 2004-05-06 | |
| dc.date | 2004-05-21 | |
| dc.date.accessioned | 2026-07-07T05:07:58Z | |
| dc.date.available | 2026-07-07T05:07:58Z | |
| dc.description | 064<p type="texpara" tag="Body Text" et="abstract" bin="clone" >In this paper, we will consider an example of a (scalar-valued) moment series, under the compatibility. Suppose that we have an amalgamated free product of free group algebras, $L(F_{2})*_{L(F_{1})}L(F_{2})=L(<a,b>)*_{L(<h>)}L(<c,d>)$ 064<p type="texpara" tag="Body Text" et="abstract" bin="clone" >We will provide the method how to find the moment series of $a+b+a^{-1}+b^{-1}+c+d+c^{-1}+d^{-1}.$ Amalgamated freeness of $a+b+a^{-1}+b^{-1}$ and $c+d+c^{-1}+d^{-1}$ over $L(F_{1})$ is used and some combinatorial functions (to explain the recurrence relations) are used to figure out the $n$-th moment of this element. | |
| dc.description | 63 pages, It is presented in COSy 2004 | |
| dc.identifier | https://arxiv.org/abs/math/0405107 | |
| dc.identifier | http://arxiv.org/abs/math/0405107 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71079 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 47-xx | |
| dc.title | Moments of the Generating Operator of Two Copies of L(F_2)'s over L(F_1) | |
| dc.type | text |