Ring-theoretic (In)finiteness in reduced products of Banach algebras

DOI10.4153/S0008414X20000565zbMath1492.46069arXiv1912.07108OpenAlexW3040683540MaRDI QIDQ5012471

Bence Horváth, Matthew Daws

Publication date: 24 November 2021

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07108

zbMATH Keywords

Banach algebraproperly infiniteDedekind-finitestable rank oneasymptotic sequence algebraultraproduct.

Mathematics Subject Classification ID

Ultraproducts in functional analysis (46M07) Topological algebras, normed rings and algebras, Banach algebras (46H99) (L^1)-algebras on groups, semigroups, etc. (43A20) General and miscellaneous (16B99)

Related Items (2)

A purely infinite Cuntz-like Banach \(\ast\)-algebra with no purely infinite ultrapowers ⋮ Perturbations of surjective homomorphisms between algebras of operators on Banach spaces

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