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Deformation of involution and multiplication in a C*-algebra

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Najafi H., Moslehian M.

Studia Mathematica

2013

tom 215

nr 1

31-37

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.

Ograniczanie wyników

1 Studia Mathematica

1 Moslehian M.

1 Najafi H.

1 2013

Wyniki wyszukiwania

Deformation of involution and multiplication in a C*-algebra