Nonseparable Uhf Algebras Ii: Classification

Authors

  • Ilijas Farah
  • Takeshi Katsura

DOI:

https://doi.org/10.7146/math.scand.a-22238

Abstract

For every uncountable cardinal $\kappa$ there are $2^\kappa$ nonisomorphic simple AF algebras of density character $\kappa$ and $2^\kappa$ nonisomorphic hyperfinite ${\rm II}_1$ factors of density character $\kappa$. 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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Published

2015-09-28

How to Cite

Farah, I., & Katsura, T. (2015). Nonseparable Uhf Algebras Ii: Classification. MATHEMATICA SCANDINAVICA, 117(1), 105–125. https://doi.org/10.7146/math.scand.a-22238

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Articles