Volume 35 • Number 2A • 2012   • On Azumaya Crossed Products George Szeto Abstract. Let $B$ be an Azumaya algebra with a finite inner automorphism group $G$. It is shown that if $B$ contains a maximal commutative Galois algebra $S$ with Galois group $G|_S$ restricted by and isomorphic with $G$, then $B$ contains a crossed product $\Delta(S,G,f)$ with a factor set $f$. Also properties of the Azumaya crossed product $\Delta(S,G,f)$ are given. 2010 Mathematics Subject Classification: Primary: 16S35, 16W20. Full text: PDF