2-Local automorphisms on $AW^\ast$-algebras

TL;DR

This paper proves that all 2-local automorphisms on certain $AW^\

Contribution

It establishes that 2-local automorphisms on $AW^\

Findings

All 2-local automorphisms are global automorphisms for the specified class.

The result applies to $AW^\

The proof uses matrix algebra techniques over unital Banach algebras.

Abstract

The paper is devoted to 2-local automorphisms on $AW^\ast$-algebras. Using the technique of matrix algebras over a unital Banach algebra we prove that any 2-local automorphism on an arbitrary $AW^\ast$-algebra without finite type~I direct summands is a global automorphism.