A name for this property? Let $*$ be an operation such that $(xy)^* = y^*x^*$, e.g. if $x,y$ are $2\times2$ matrices and $*$ is "take the inverse" or if $x,y$ are operators and if $*$ is the adjoint.
Is there a name for such a property ?

I don't believe this is standard, but my abstract algebra textbook (Contemporary Abstract Algebra by Gallian) refers to the fact that $(ab)^{-1} = b^{-1}a^{-1}$ as the "Socks-Shoes Property" (you put your socks on before your shoes, but if you want to undo that operation, you need to take your shoes off before taking off your socks). So a "socks-shoes operation" might be a possible, if informal, term for this.
