FELL ALGEBRAS, GROUPOIDS, AND PROJECTIONS
(2022) In Proceedings of the American Mathematical Society 150(11). p.4891-4907- Abstract
Examples of Fell algebras with compact spectrum and trivial Dixmier-Douady invariant are constructed to illustrate differences with the case of continuous-trace Cā-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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/844c3f14-de2a-49af-bf46-5888bcb14b53
- author
- Deeley, Robin J. ; Goffeng, Magnus LU and Yashinski, Allan
- organization
- publishing date
- 2022-11-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Proceedings of the American Mathematical Society
- volume
- 150
- issue
- 11
- pages
- 17 pages
- publisher
- American Mathematical Society (AMS)
- external identifiers
-
- scopus:85139537239
- ISSN
- 0002-9939
- DOI
- 10.1090/proc/16045
- language
- English
- LU publication?
- yes
- id
- 844c3f14-de2a-49af-bf46-5888bcb14b53
- date added to LUP
- 2022-12-09 15:09:10
- date last changed
- 2022-12-09 15:09:10
@article{844c3f14-de2a-49af-bf46-5888bcb14b53,
abstract = {{<p>Examples of Fell algebras with compact spectrum and trivial Dixmier-Douady invariant are constructed to illustrate differences with the case of continuous-trace C<sup>ā</sup>-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.</p>}},
author = {{Deeley, Robin J. and Goffeng, Magnus and Yashinski, Allan}},
issn = {{0002-9939}},
language = {{eng}},
month = {{11}},
number = {{11}},
pages = {{4891--4907}},
publisher = {{American Mathematical Society (AMS)}},
series = {{Proceedings of the American Mathematical Society}},
title = {{FELL ALGEBRAS, GROUPOIDS, AND PROJECTIONS}},
url = {{http://dx.doi.org/10.1090/proc/16045}},
doi = {{10.1090/proc/16045}},
volume = {{150}},
year = {{2022}},
}