On spectral gap rigidity and Connes invariant $\chi(M)$

• Autores: Sorin Popa
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3531-3539
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10277-0
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• Resumen

  • We calculate Connes' invariant for certain II factors that can be obtained as inductive limits of subfactors with spectral gap. Then we use this to answer a question he posed in 1975 on the structure of McDuff factors with .