A properly infinite Banach *-algebra with a non-zero, bounded trace

DOI10.4064/SM155-2-2zbMath1025.46019OpenAlexW1978023765MaRDI QIDQ4790238

Niels Jakob Laustsen, Charles John Read, H. Garth Dales

Publication date: 28 January 2003

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm155-2-2

zbMATH Keywords

traceCuntz semigroupproperly infinite Banach *-algebraproperly infinite Banach algebrasemigroup Banach algebra

Mathematics Subject Classification ID

Jacobson radical, quasimultiplication (16N20) General theory of topological algebras with involution (46K05) Structure, classification of topological algebras (46H20) (L^1)-algebras on groups, semigroups, etc. (43A20)

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A purely infinite Cuntz-like Banach \(\ast\)-algebra with no purely infinite ultrapowers ⋮ Functional identities of degree 2 in rings with idempotents ⋮ Banach algebras on semigroups and on their compactifications ⋮ Approximately spectrum-preserving maps ⋮ Operator spaces with prescribed sets of completely bounded maps ⋮ Range-Inclusive Maps in Rings with Idempotents ⋮ Structure and \(K\)-theory of \(\ell^p\) uniform Roe algebras ⋮ Ring-theoretic (In)finiteness in reduced products of Banach algebras

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