The ideal separation property for reduced group C⁎-algebras
Artikel i vetenskaplig tidskrift, 2025
We say that an inclusion of an algebra A into a C⁎-algebra B has the ideal separation property if closed ideals in B can be recovered by their intersection with A. Such inclusions have attractive properties from the point of view of harmonic analysis and noncommutative geometry. We establish several permanence properties of locally compact groups for which L1(G)⊆Cred⁎(G) has the ideal separation property.
Ideal separation property
⁎-regularity
Group C -algebra ⁎
Ideal intersection property
Locally compact groups
C -uniqueness ⁎
Författare
Are Austad
Universitetet i Oslo
Hannes Thiel
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Journal of Functional Analysis
0022-1236 (ISSN) 1096-0783 (eISSN)
Vol. 289 1 110904Ämneskategorier (SSIF 2025)
Geometri
Algebra och logik
DOI
10.1016/j.jfa.2025.110904