Deformation of involution and multiplication in a C*-algebra

• Autorzy: H. Najafi , M. S. Moslehian
• Języki publikacji: EN

Abstrakty

EN

We investigate the deformations of involution and multiplication in a unital C*-algebra when its norm is fixed. Our main result is to present all multiplications and involutions on a given C*-algebra 𝓐 under which 𝓐 is still a C*-algebra when we keep the norm unchanged. For each invertible element a ∈ 𝓐 we also introduce an involution and a multiplication making 𝓐 into a C*-algebra in which a becomes a positive element. Further, we give a necessary and sufficient condition for the center of a unital C*-algebra 𝓐 to be trivial.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 46L10: General theory of von Neumann algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 215
• Numer: 1
• Strony: 31-37

Daty

wydano

2013

Twórcy

autor

H. Najafi

• Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran

autor

M. S. Moslehian

• Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran

Identyfikatory

DOI

10.4064/sm215-1-3