2-LOCAL AUTOMORPHISMS AND ANTI-AUTOMORPHISMS ON REAL AND COMPLEX AW*-ALGEBRAS
Abstract
A 2-Local automorphisms and anti-automorphisms on real and complex matrix algebras over unital real and complex Banach algebras are considered, respectively. It is proved that any 2-Local anti-automorphisms on AW*-algebra without finite type I direct summands, is an anti-automorphism. It is also proved that any 2-Local automorphisms on real AW*-algebra without finite type I direct summands, is an automorphism.
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