|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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