Some Results on Positive Elements in the Tensor Product of C*-algebras

Anamika Sarma; Nilakshi Goswami

doi:https://doi.org/10.14445/22315373/IJMTT-V51P530

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 3 | Year 2017 | Article Id. IJMTT-V51P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P530

Some Results on Positive Elements in the Tensor Product of C*-algebras

Anamika Sarma, Nilakshi Goswami

Abstract

In this paper, we discuss different properties of positive elements in the tensor product of two C*-algebras. Considering the cone of positive elements in a C*-algebra A, we define a cone norm on the set of Hermitian elements of A. Some results regarding positive forms in the tensor product are also derived here.

Keywords

C*-algebra, positive element, tensor product, cone norm, positive form.

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Citation :

Anamika Sarma, Nilakshi Goswami, "Some Results on Positive Elements in the Tensor Product of C*-algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 3, pp. 237-243, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P530