I think this short story was in one of the “Gold” collection series.
It was about the murder of a Martian who played a form of golf using a jewelled boomerang. The human eventually convicted ends up in an execution chamber designed to execute Martians, who have a hard carapace.
It would have been a contemporary of such favourites as “Watchbird” and “Horror Howse” (yup, that’s how it was spelled, as I recall). I’m looking for the title, author and collection title.