Abstract
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.
Original language | English |
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Pages (from-to) | 105-125 |
Number of pages | 21 |
Journal | Mathematica Scandinavica |
Volume | 117 |
Issue number | 1 |
Publication status | Published - 2015 |
ASJC Scopus subject areas
- Mathematics(all)