Similarity implies homotopy of idempotents in Banach algebras of stable rank one

• Autores: Julien Giol
• Localización: Archiv der Mathematik, ISSN 0003-889X, Vol. 88, Nº. 3, 2007, págs. 235-238
• Idioma: inglés
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• Resumen

  • We establish the property stated in the title by means of an elementary construction: in a Banach algebra of stable rank one, any two similar idempotents can be connected by a piecewise affine path of idempotents consisting of at most 3 affine steps.