The Bass and topological stable ranks for algebras of almost periodic functions on the real line

DOI10.1090/tran/6398zbMath1347.46037arXiv1402.4825OpenAlexW2964010381MaRDI QIDQ2790582

Raymond Mortini, Rudolf Rupp

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4825

zbMATH Keywords

almost periodic functionsBass stable ranktopological stable rankbounded holomorphic functionsBohr spectrumanalytic tracereducible tuples

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Classical almost periodic functions, mean periodic functions (42A75) (K)-theory and operator algebras (including cyclic theory) (46L80) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items (6)

The Bass and topological stable ranks of the Bohl algebra are infinite ⋮ Embedding polydisk algebras into the disk algebra and an application to stable ranks ⋮ Generation of the special linear group by elementary matrices in some measure Banach algebras ⋮ Interpolation in model spaces ⋮ Function theory in real Hardy spaces ⋮ The Bass and topological stable ranks for algebras of almost periodic functions on the real line. II

Cites Work

• Real-symmetric extensions of invertible tuples of multivariable continuous functions
• A note on some uniform algebra generated by smooth functions in the plane
• Convolution operators and factorization of almost periodic matrix functions
• Extension problems and stable rank in commutative Banach algebras
• On the corona theorem for almost periodic functions
• Bass and topological stable ranks of complex and real algebras of measures, functions and sequences
• Stable rank of rings and dimensionality of topological spaces
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• A Note on Kronecker's Approximation Theorem
• Dense Morphisms in Commutative Banach Algebras
• An example of a subalgebra of $H^{∞}$ on the unit disk whose stable rank is not finite
• The algebra of almost periodic functions has infinite topological stable rank
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Bass and topological stable ranks for algebras of almost periodic functions on the real line