Nonseparable Uhf Algebras Ii: Classification

  • Ilijas Farah
  • Takeshi Katsura

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.
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
Section
Articles