On two versions of holomorphic quantum plane

2025/07/19 by Aristov, Oleg
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2507.14490

Abstract

We find power series descriptions of two versions of holomorphic quantum plane, the Arens--Michael envelope and the envelope with respect to the class of Banach PI algebras, in the case of non-unitary parameter.

Citations

• Noncommutative complex analytic geometry of a contractive quantum plane
• Taylor spectrum of a Banach module over the quantum plane
• The Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism

Related

• The Arens-Michael envelopes of the Jordanian Plane and U_q(\mathfraksl(2))
• The Arens-Michael envelope of a smash product
• Noncommutative complex analytic geometry of a contractive quantum plane
• A multiparameter family of irreducible representations of the quantum plane and of the quantum Weyl algebra
• Geometry of representations of quantum spaces