Homotopy stability of orthogonal spaces in commutative Banach algebras

DOI10.1007/BF00538185zbMath0853.46075OpenAlexW2010863107MaRDI QIDQ1916024

Fernando Daniel Suárez

Publication date: 12 January 1997

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

Full work available at URL: https://doi.org/10.1007/bf00538185

zbMATH Keywords

Bass stable rankcomplex commutative Banach algebrareal stable rank

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Structure, classification of topological algebras (46H20)

Cites Work

• Continuous selections. I
• Continuous selections. II
• Stable range in Banach algebras
• A stabilization theorem for Banach algebras
• Extension problems and stable rank in commutative Banach algebras
• Real stable ranks
• \(C^*\)-algebras of real rank zero
• Continuous selections and stable rank of Banach algebras
• Topological invariants of the maximal ideal space of a Banach algebra
• Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space
• Cohomological stabilization of maximal ideal spaces in Banach algebras
• The stable range of \(C^*\)-algebras
• Stable rank of rings and dimensionality of topological spaces
• \(K\)-theory and stable algebra
• Products of cocycles and extensions of mappings
• THE STABLE HOMOTOPY OF THE CLASSICAL GROUPS
• Dense Morphisms in Commutative Banach Algebras
• $K$-théorie algébrique et $K$-théorie topologique I.
• Mappings of a Normal Space Into an Absolute Neighborhood Retract
• The Fundamental Group of the Principal Component of a Commutative Banach Algebra
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