On the Lack of Inverses to C*-Extensions Related to Property T Groups

• Autores: Vladimir Manuilov, Klaus Thomsen
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 2, 2007, págs. 268-283
• Idioma: inglés
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• Resumen

  • Using ideas of S. Wassermann on non-exact C*-algebras and property T groups, we show that one of his examples of non-invertible C*-extensions is not semi-invertible. To prove this, we show that a certain element vanishes in the asymptotic tensor product. We also show that a modification of the example gives a C*-extension which is not even invertible up to homotopy