Nonseparable Uhf Algebras Ii: Classification

• Autores: Ilijas Farah, Takeshi Katsura
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 117, Nº 1, 2015, págs. 105-125
• Idioma: inglés
• DOI: 10.7146/math.scand.a-22238
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• Resumen

  • 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.