Traces on ultrapowers of \(\mathrm{C}^{*}\)-algebras

DOI10.1016/j.jfa.2024.110341arXiv2303.01929OpenAlexW4391277638MaRDI QIDQ6150103

Ramon Antoine, Francesc Perera, Hannes Thiel, Leonel Robert

Publication date: 5 March 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.01929

zbMATH Keywords

tracesultraproductsCuntz semigroups\(\mathrm{C}^{*}\)-algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Ultraproduct techniques in Banach space theory (46B08) Ultraproducts in functional analysis (46M07) General theory of (C^*)-algebras (46L05) Noncommutative measure and integration (46L51) Classifications of (C^*)-algebras (46L35) Ordered semigroups and monoids (06F05) Continuous lattices and posets, applications (06B35) States of selfadjoint operator algebras (46L30) (K_0) as an ordered group, traces (19K14)

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