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Fell algebras, groupoids, and projections.
- Source :
-
Proceedings of the American Mathematical Society . Nov2022, Vol. 150 Issue 11, p4891-4907. 17p. - Publication Year :
- 2022
-
Abstract
- Examples of Fell algebras with compact spectrum and trivial Dixmier-Douady invariant are constructed to illustrate differences with the case of continuous-trace C^*-algebras. At the level of the spectrum, this translates to only assuming the spectrum is locally Hausdorff (rather than Hausdorff). The existence of (full) projections is the fundamental question considered. The class of Fell algebras studied here arises naturally in the study of Wieler solenoids and applications to dynamical systems will be discussed in a separate paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*DYNAMICAL systems
*SOLENOIDS
*GROUPOIDS
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 150
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 159358935
- Full Text :
- https://doi.org/10.1090/proc/16045