Smale space C*-algebras have non-zero projections
(2020) In Proceedings of the American Mathematical Society 148(4). p.1625-1639- Abstract
- The main result of the present paper is that the stable and unstable $C^*$-algebras associated to a mixing Smale space always contain nonzero projections. This gives a positive answer to a question of the first listed author and Karen Strung and has implications for the structure of these algebras in light of the Elliott program for simple $C^*$-algebras. Using our main result, we also show that the homoclinic, stable, and unstable algebras each have real rank zero.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/6634e805-450e-4abc-880c-79f7cfeaa030
- author
- Goffeng, Carl Henrik Tryggve Magnus LU ; Deeley, Robin and Yashinski, Allan
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Proceedings of the American Mathematical Society
- volume
- 148
- issue
- 4
- pages
- 1625 - 1639
- publisher
- American Mathematical Society (AMS)
- external identifiers
-
- scopus:85080863492
- ISSN
- 1088-6826
- DOI
- 10.1090/proc/14837
- language
- English
- LU publication?
- no
- id
- 6634e805-450e-4abc-880c-79f7cfeaa030
- date added to LUP
- 2021-03-12 12:02:09
- date last changed
- 2022-04-19 05:06:59
@article{6634e805-450e-4abc-880c-79f7cfeaa030, abstract = {{The main result of the present paper is that the stable and unstable $C^*$-algebras associated to a mixing Smale space always contain nonzero projections. This gives a positive answer to a question of the first listed author and Karen Strung and has implications for the structure of these algebras in light of the Elliott program for simple $C^*$-algebras. Using our main result, we also show that the homoclinic, stable, and unstable algebras each have real rank zero.}}, author = {{Goffeng, Carl Henrik Tryggve Magnus and Deeley, Robin and Yashinski, Allan}}, issn = {{1088-6826}}, language = {{eng}}, number = {{4}}, pages = {{1625--1639}}, publisher = {{American Mathematical Society (AMS)}}, series = {{Proceedings of the American Mathematical Society}}, title = {{Smale space C*-algebras have non-zero projections}}, url = {{http://dx.doi.org/10.1090/proc/14837}}, doi = {{10.1090/proc/14837}}, volume = {{148}}, year = {{2020}}, }