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arXiv · 1908.11633

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

Shavkat Ayupov·Karimbergen Kudaybergenov·Turabay Kalandarov
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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.

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Shavkat Ayupov, Karimbergen Kudaybergenov, Turabay Kalandarov. 2019-08-30. 2-Local automorphisms on $AW^\ast$-algebras. https://doi.org/10.1007/978-3-030-10850-21

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