International Journal of Modern Computation, Information and Communication Technology

ISSN 2581-5954
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September-October 2021, Vol. 4, Issue 9-10, p. 77-84.​​

Algebra Automorphism Modulus Additive Conditions for Surjective Maps on Unital C*-Algebras
A. M. Nyongesa¹, S. Aywa¹, N. B. Okelo²
¹Department of Mathematics, Kibabii University, Kenya.

²Department of Pure and Applied Mathematics, Jaramogi Oginga Odinga University of Science and Technology, P. O. Box 210-40601, Bondo-Kenya.
*Corresponding author’s e-mail:
bnyaare@yahoo.com

Abstract

In the present work, authors considered norm preserver conditions for automorphisms on unital C∗-algebras. This is done by first establishing sufficient conditions for which a surjective map between unital C∗-algebras is an algebra automorphism.

Keywords: Automorphism; C∗-algebras; Surjective map; Unital.

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