6 papers · 1 filter
Homological framework of noncommutative complex analytic geometry and functional calculus
Anar Dosi
In the paper we propose topological homology framework of noncommutative complex analytic geometries of Fréchet algebras, and investigate the related functional calculus and spectr…
Noncommutative localizations of a contractive quantum plane
Anar Dosi
In the present paper we investigate the localizations in the sense of J. L. Taylor of the Arens-Michael-Fréchet algebras associated with noncommutative analytic spaces of a contrac…
Taylor spectrum of a Banach module over the quantum plane
Anar Dosi
In the paper we investigate the joint spectra of Banach space representations of the quantum q-plane called Banach q-modules. Based on the transversality relation from the topologi…
Noncommutative complex analytic geometry of a contractive quantum plane
Anar Dosi
In the paper we investigate the Banach space representations of Manin's quantum q-plane for |q| is not 1. The Arens-Michael envelope of the quantum plane is extended up to a Freche…
Deformation quantization of projective schemes and differential operators
Anar Dosi
The paper is devoted to noncommutative projective schemes within Kapranov's framework of noncommutative algebraic geometry. We classify all noncommutative projective schemes obtain…
Algebraic spectral theory and Serre multiplicity formula
Anar Dosi
The present paper is devoted to an algebraic treatment of the joint spectral theory within the framework of Noetherian modules over an algebra finite extension of an algebraically…