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Christopher Chlebovec and
Andrew J. Dean
Non-unital ASH algebras arising as crossed products of graph algebras
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| Published: |
April 22, 2020. |
| Keywords: |
crossed products, graph algebras, quasi-free actions, continuous fields, noncommutative CW complexes, K-theory, AF-embeddable, ASH algebra. |
| Subject: |
46L35, 46L55, 46L57. |
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Abstract
We study the structure of crossed products of graph algebras by quasi-free actions and show that they can be written as inductive limits of one-dimensional NCCW complexes for at least some dense Gδ set of the action parameters. The K-theory of certain AF algebras used in the construction is computed. |
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| Acknowledgements
The second author supported by NSERC.
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| Author information
Christopher Chlebovec:
Department of Mathematical Sciences
Lakehead University
955 Oliver Road, Thunder Bay, ON P7B 5E1, Canada
cchlebov@lakeheadu.ca
Andrew J. Dean:
Department of Mathematical Sciences
Lakehead University
955 Oliver Road, Thunder Bay, ON P7B 5E1, Canada
ajdean@lakeheadu.ca
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