Local left invertibility for operator tuples and noncommutative localizations

DOI10.1017/IS008008021JKT064zbMath1185.46048OpenAlexW2015899762MaRDI QIDQ3181753

A. A. Dosiyev

Publication date: 12 October 2009

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/is008008021jkt064

zbMATH Keywords

homological dimensionsnoncommutative localizationArens-Michael envelopeentire functions in elements of a nilpotent Lie algebra

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Functional calculus in topological algebras (46H30) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Universal enveloping algebras of Lie algebras (16S30)

Related Items (9)

Fréchet sheaves and Taylor spectrum for supernilpotent Lie algebra of operators ⋮ Noncommutative holomorphic functional calculus, affine and projective spaces from $\operatorname {NC}$-complete algebras ⋮ Noncommutative affine spaces and Lie-complete rings ⋮ Formally-radical Functions in Elements of a Nilpotent Lie Algebra and Noncommutative Localizations ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ Open embeddings and pseudoflat epimorphisms ⋮ Noncommutative Localizations of Lie-Complete Rings ⋮ Arens–Michael envelopes of nilpotent Lie algebras, holomorphic functions of exponential type, and homological epimorphisms ⋮ Unnamed Item

Cites Work

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• Homological dimensions of the algebra formed by entire functions of elements of a nilpotent Lie algebra
• Algebras of power series of elements of a Lie algebra and the Slodkowski spectra
• Arens-Michael enveloping algebras and analytic smash products
• Quasispectra of solvable Lie algebra homomorphisms into Banach algebras
• Holomorphic functions of a basis of a nilpotent Lie algebra

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