Invariant states on the wreath product
| dc.creator | Dudko, A. V. | |
| dc.creator | Nessonov, N. I. | |
| dc.date | 2009-03-28 | |
| dc.date.accessioned | 2026-07-07T12:57:39Z | |
| dc.date.available | 2026-07-07T12:57:39Z | |
| dc.description | Let $\mathfrak{S}_\infty$ be the infinity permutation group and $Γ$ be a separable topological group. The wreath product $Γ\wr \mathfrak{S}_\infty$ is the semidirect product $Γ^\infty_e \rtimes \mathfrak{S}_\infty$ for the usual permutation action of $\mathfrak{S}_\infty$ on $Γ^\infty_e=\{[γ_i]_{i=1}^\infty : γ_i\in Γ,\textit{only finitely many}γ_i\neq e\}$. In this paper we obtain the full description of indecomposable states $φ$ on the group $Γ\wr\mathfrak{S}_\infty,$ satisfying the condition: φ(sgs^{-1})= φ(g)\text{for each}g\in Γ\wr \mathfrak{S}_\infty,s\in\mathfrak{S}_\infty. | |
| dc.description | 37 pages | |
| dc.identifier | https://arxiv.org/abs/0903.4987 | |
| dc.identifier | http://arxiv.org/abs/0903.4987 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225007 | |
| dc.subject | Representation Theory | |
| dc.title | Invariant states on the wreath product | |
| dc.type | text |