Z-Hyperrigidity and Z-boundary representations

• Autores: V. A. Anjali, Athul Augustine, P. Shankar
• Localización: 3c Empresa: investigación y pensamiento crítico, ISSN-e 2254-3376, Vol. 11, Nº. 2, 2022, págs. 173-184
• Idioma: inglés
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• Resumen

  • In this article, we introduce the notions of Z-finite representations and Z-separation property of representations for operator Z-systems generating C∗-algebras. We use these notions to characterize the Z-boundary representations for operator Z-systems. We introduce Z-hyperrigidity of operator Z-systems.

    We investigate an analogue version of Saskin’s theorem in the setting of operator Z-systems generating C∗-algebras.