Authors: | Farah, Ilijas Katsura, Takeshi |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Nonseparable UHF algebras II: Classification | Journal: | Mathematica Scandinavica | Volume: | 117 | Issue: | 1 | First page: | 105 | Last page: | 125 | Issue Date: | 1-Jan-2015 | Rank: | M23 | ISSN: | 0025-5521 | DOI: | 10.7146/math.scand.a-22238 | Abstract: | For every uncountable cardinal κ there are 2κ nonisomorphic simple AF algebras of density character κ and 2κnonisomorphic hyperfinite II1 factors of density character κ. These estimates are maximal possible. All C∗-algebras that we construct have the same Elliott invariant and Cuntz semigroup as the CAR algebra. |
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