On homotopy invariants of tensor products of Banach algebras

DOI10.1007/s00020-020-02575-8zbMath1442.46033arXiv1912.12317OpenAlexW3016985269MaRDI QIDQ2176071

Alexander Brudnyi

Publication date: 4 May 2020

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12317

zbMATH Keywords

idempotentsinvertible elementshomotopy equivalenceunital complex Banach algebras

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Banach algebras of continuous functions, function algebras (46J10) General theory of topological algebras (46H05) Homology and homotopy of topological groups and related structures (57T99)

Related Items (3)

Projective free algebras of bounded holomorphic functions on infinitely connected domains ⋮ Projective freeness and stable rank of algebras of complex-valued BV functions ⋮ On the maximal ideal spaces of 𝐇^{∞} on coverings of bordered Riemann surfaces

Cites Work

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• Projective free algebras of continuous functions on compact Abelian groups
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• On compelemented subspaces of m
• Projections in certain Banach spaces
• Oka principle on the maximal ideal space of $\boldsymbol {H^\infty }$
• Projective free algebras of bounded holomorphic functions on infinitely connected domains
• Homotopy in Fréchet Algebras
• The homotopy structure of the linear group of a Banach space
• Mappings of a Normal Space Into an Absolute Neighborhood Retract

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