Projective freeness and stable rank of algebras of complex-valued BV functions

DOI10.4153/s000843952300005xarXiv2210.10287MaRDI QIDQ6052793

Alexander Brudnyi

Publication date: 25 September 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.10287

zbMATH Keywords

Čech cohomologyidempotentcontinuumcovering dimensionstable rankHausdorff measureprojective modulefunction of bounded variationpolynomially convex hullweakly inverse-closed Banach algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Projective and free modules and ideals in commutative rings (13C10) Projective and injective objects in functional analysis (46M10)

Cites Work

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• Bass's first stable range condition
• Polynomial convexity
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• Serre's conjecture
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• Lectures on analysis on metric spaces
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• Multivariate bounded variation functions of Jordan-Wiener type
• \(K\)-theory and stable algebra
• Uniform subalgebras of $L^{\infty }$ on the unit circle generated by almost periodic functions
• Function algebras
• Oka principle on the maximal ideal space of $\boldsymbol {H^\infty }$
• DENSE STABLE RANK AND RUNGE-TYPE APPROXIMATION THEOREMS FOR MAPS
• Polynomial Approximation and Hulls in Sets in Finite Linear Measure in C n
• Mappings of a Normal Space Into an Absolute Neighborhood Retract

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