Holomorphically finitely generated algebras

DOI10.4171/JNCG/192zbMath1314.32012arXiv1304.1991OpenAlexW2962868745MaRDI QIDQ2345699

A. Yu. Pirkovskii

Publication date: 22 May 2015

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1991

zbMATH Keywords

Fréchet algebraStein spacequantum polydiskfree polydiskHFG algebra

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Rings arising from noncommutative algebraic geometry (16S38) Noncommutative geometry (à la Connes) (58B34) Functional calculus in topological algebras (46H30) Smash products of general Hopf actions (16S40) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (8)

Noncommutative Kähler structures on quantum homogeneous spaces ⋮ Banach space representations of Drinfeld-Jimbo algebras and their complex-analytic forms ⋮ Noncommutative holomorphic functional calculus, affine and projective spaces from $\operatorname {NC}$-complete algebras ⋮ A differential graded model for derived analytic geometry ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ The relation ``commutator equals function in Banach algebras ⋮ Algebras of free holomorphic functions and localizations ⋮ Unnamed Item

Cites Work

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• Non-commutative complex differential geometry
• Bivariant \(K\)-theory for locally convex algebras and the Chern-Connes character
• Homological dimensions of the algebra formed by entire functions of elements of a nilpotent Lie algebra
• Lectures on algebraic quantum groups
• Algebras of power series of elements of a Lie algebra and the Slodkowski spectra
• Holomorphic functions of a basis of a nilpotent Lie algebra

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