Noncommutative localizations and joint spectra of a contractive quantum plane
Anar Dosi
Published: 2025/9/28
Abstract
In the present paper we investigate the localizations in the sense of J. L. Taylor of the Arens-Michael-Fr\'echet algebras occurred within the formal geometry of a contractive q-plane. It turns out that all noncommutative Fr\'echet algebras obtained by the Fr\'echet sheaves of the formal geometry are indeed localizations. That topological homology property of the structure sheaf results in the key properties of Taylor and Putinar spectra of the Banach q-modules.