Depends on which device you have but the latest dex capable devices support wireless display to Miracast capable devices, so it should work with Microsoft's wireless display adapter.
I can use dex wirelessly on my new Samsung tv... but was wondering how to connect wirelessly to my HP e243 monitor... I currently have the chromecast connected but dex doesn't work with that.... so probably need to make a choice between Microsoft dongle or Amazon Firestick?