The ideal separation property for reduced group C⁎-algebras
Journal article, 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 ⁎
Author
Are Austad
University of Oslo
Hannes Thiel
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Journal of Functional Analysis
0022-1236 (ISSN) 1096-0783 (eISSN)
Vol. 289 1 110904Subject Categories (SSIF 2025)
Geometry
Algebra and Logic
DOI
10.1016/j.jfa.2025.110904