I'd like to check who owns (or at least some kind of public profile page) some workspace based on its subdomain (e.g.
Is it possible?
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That information is private and access to it is reserved for members of the workspace.
So if you're a member of the workspace you can find out who the workspace owner is here: https://my.slack.com/account/team
If you aren't a member of the workspace, that information is not available to you.