If you are looking to mirror the display only and don't need touch inputs, I used something like this before to achieve the same via microUSB: Rocketfish MHL HDTV Adapter. Likely you can find either an HDMI to miniDISPLAY adapter, or maybe a different cable that fits your needs (the one I've linked is the one I purchased and used myself so I can at least vouch for it's functionality; at that time, I believe I used it with a Samsung Note 4 - Android 4.4).
Additionally, I have seen wireless dongles that act as a receiver, but I have not personally tried these before.