On the $Γ$-equivariant form of the Berezin's quantization of the upper half plane

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152355Let $Γ$ be a fuchsian subgroup of \pslr. In this paper we consider the $Γ$-equivariant form of the Berezin's quantization of the upper half plane which will correspond to a deformation quantization of the (singular) space $\Bbb H/Γ$. Our main result is that the von Neumann algebra associated to the $Γ-$ equivariant form of the quantization is stable isomorphic with the von Neumann algebra associated to $Γ$.This paper is in amstexFunctional AnalysisHigh Energy Physics - TheoryOperator AlgebrasOn the $Γ$-equivariant form of the Berezin's quantization of the upper half planetext