Nonseparable UHF algebras II: Classification

Ilijas Farah, Takeshi Katsura

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)105-125
Number of pages21
JournalMathematica Scandinavica
Issue number1
Publication statusPublished - 2015

ASJC Scopus subject areas

  • Mathematics(all)


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