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 |
|---|---|
| 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)
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Cite this
Farah, I., & Katsura, T. (2015). Nonseparable UHF algebras II: Classification. Mathematica Scandinavica, 117(1), 105-125.