Academic Journal
The ideal separation property for reduced group C ⁎ -algebras
| Title: | The ideal separation property for reduced group C ⁎ -algebras |
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| Authors: | Austad, Are, Thiel, Hannes, 1982 |
| Source: | Journal of Functional Analysis. 289(1) |
| Subject Terms: | Ideal separation property, ⁎-regularity, Group C -algebra ⁎, Ideal intersection property, Locally compact groups, C -uniqueness ⁎ |
| Description: | 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. |
| File Description: | electronic |
| Access URL: | https://research.chalmers.se/publication/545487 https://research.chalmers.se/publication/545487/file/545487_Fulltext.pdf |
| Database: | SwePub |
| ISSN: | 00221236 10960783 |
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| DOI: | 10.1016/j.jfa.2025.110904 |