Irule redirect all paths /* of my domain

Thanks for the update.

You'll need to be careful with this one as you risk causing a redirect loop, given you're redirecting to the same location. The following iRule will redirect only if the URI is not equal to the root path. This should stop requests getting stuck in a loop. Make sure you test this in a non production environment first.

when HTTP_REQUEST {
    if {([HTTP::host] equals "test01.test.com") && !([HTTP::uri] equals "/")} {
        HTTP::redirect https://test01.test.com
    }
}