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

Autor: Ayupov, Shavkat, Kudaybergenov, Karimbergen, Kalandarov, Turabay
Rok vydání: 2019
Předmět:
Zdroj: in book Positivity and Noncommutative Analysis, Springer Nature Switzerland AG, 1-13 (2019)
Druh dokumentu: Working Paper
DOI: 10.1007/978-3-030-10850-21
Popis: 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.
Comment: 10 pages. arXiv admin note: substantial text overlap with arXiv:1702.07629
Databáze: arXiv