Authors: | Farah, Ilijas Toms, Andrew Törnquist, Asger |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | The descriptive set theory of C*-algebra Invariants | Journal: | International Mathematics Research Notices | Volume: | 2013 | Issue: | 22 | First page: | 5196 | Last page: | 5226 | Issue Date: | 1-Jan-2013 | Rank: | M21a | ISSN: | 1073-7928 | DOI: | 10.1093/imrn/rns206 | Abstract: | We establish the Borel computability of various C*-algebra invariants, including the Elliott invariant and the Cuntz semigroup. As applications, we deduce that AF algebras are classifiable by countable structures, and that a conjecture of Winter and the second author for nuclear separable simple C*-algebras cannot be disproved by appealing to known standard Borel structures on these algebras. |
Publisher: | Oxford University Press | Project: | NSF, Grants DMS-1101144 and DMS-0969246 Denmarks Natural Sciences Research Council, Grant no. 10-082689/FNU Marie Curie reintegration grant, no. IRG-249167 |
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