The aim of this paper is to study the characteristics of extended left centralizers on the tensor

product of C∗-algebras. For a tensor norm α; a relationship is derived between extended left

(c; k2)-centralizers on C∗-algebras A; B and their tensor product A ⊗α B. Suitable examples are

provided to validate the results. Some characterization of commutativity of Lie ideals of the tensor

product are given in terms of extended left (c; k2)-centralizers.

**Author(s) Details
Dr. Nilakshi Goswami
**Department of Mathematics, Gauhati University, Assam, India.

**Anamika Sarma
**Department of Mathematics, Gauhati University, Assam, India.

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