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Apurva Seth and
Prahlad Vaidyanathan
AF-algebras and rational homotopy theory
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| Published: |
September 9, 2020. |
| Keywords: |
Nonstable K-theory, C*-algebras. |
| Subject: |
Primary 46L85; Secondary 46L80. |
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Abstract
We give a procedure to compute the rational homotopy groups of the group of quasi-unitaries of an AF-algebra. As an application, we show that an AF-algebra is K-stable if and only if it is rationally K-stable.
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| Acknowledgements
The first named author is supported by UGC Junior Research Fellowship No. 1229 and the second named author was partially supported by SERB Grant YSS/2015/001060. The authors would like to thank the referee for a careful reading of the manusript, and for pointing out an error in an earlier version of the paper.
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| Author information
Apurva Seth:
Department of Mathematics
Indian Institute of Science Education and Research Bhopal
Bhopal ByPass Road, Bhauri
Bhopal 462066, Madhya Pradesh, India
apurva17@iiserb.ac.in
Prahlad Vaidyanathan:
Department of Mathematics
Indian Institute of Science Education and Research Bhopal
Bhopal ByPass Road, Bhauri
Bhopal 462066, Madhya Pradesh, India
prahlad@iiserb.ac.in
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