For every uncountable cardinal κ there are 2<sup>κ</sup> nonisomorphic simple AF algebras of density character κ and 2<sup>κ</sup>nonisomorphic 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.
|Number of pages||21|
|Publication status||Published - 2015|
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