Homotopies of Constant Cuntz Class
Abstract Let $A$ be a unital simple separable exact C$^{\ast }$-algebra that is approximately divisible and of real rank zero. We prove that the set of positive elements in $A$ with a fixed Cuntz class is path connected. This result applies in particular to irrational rotation algebras and approxima...
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| Veröffentlicht in: | International mathematics research notices 2023-09, Vol.2023 (18), p.15358-15369 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Abstract
Let $A$ be a unital simple separable exact C$^{\ast }$-algebra that is approximately divisible and of real rank zero. We prove that the set of positive elements in $A$ with a fixed Cuntz class is path connected. This result applies in particular to irrational rotation algebras and approximately finite-dimensional (AF) algebras. |
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| ISSN: | 1073-7928 1687-0247 |
| DOI: | 10.1093/imrn/rnac267 |