There are actually two "reflections" of Hades known by different names, with almost entirely different views. The more archaic and feared Hades (Ἅιδης) and the newer, more amicable Plouton (Πλούτων).

A good resource on this is The Cults of the Greek States Vol III by Lewis Richard Farnell, published by Oxford Clarendon. You can find scanned versions of the book and other volumes online at Internet Archive. It's a pretty short section, only about 8 pages, but it's packed with info. I have other sources too, if you'd like, but they're not as useful. Hades is rather under-served, scholastically. That's the source I'm drawing on for most of it, at least.

Hades, before his name expanded to cover his entire realm, was pretty scary. People apparently went to great lengths to not offend him and end up dead. His realm was considered a horrible place to go (Greek comedies notwithstanding), and "life" as a ghost was at best unpleasant. He was one of the "minor" deities (as in, his cult was never particularly large) for this reason. He had no large sanctuaries outside of Elis that we're aware of, and they only opened his temple once a year. Plato tells us the name Hades was a taboo of sorts among your average person, who invoked epithets and euphemisms to avoid saying it and drawing his attention. He was occasionally conflated more benevolently with, and may have ultimately derived from, Zeus as Zeus Cthonios, and had roles as a god of Death, vengeance, justice, agriculture, metals and stone, as well as theoretically being in charge of the Erinyes. Everything underground or originating underground seems to have been considered his. Eventually various aspects of his were subsumed by other deities - the Eleusinian Dionysos for example may have eventually taken over his role as a death/rebirth agriculture god in later periods.

Eventually they started to call him Plouton ("wealthy"), which was similar to and sometimes conflated with Plutus, the god of Wealth and Riches. This more generally reflects his role as a god of agricultural and mineral wealth in particular, as opposed to death. Later, as mentioned by Lucian in Imperial Roman times, Roman Pluto's role came back around to being a god of Death, with his "riches" being the souls he ruled over, and the name Hades referring only to the realm he ruled. As Plouton, he gathered a few more followers who built Ploutonions - particularly at Eleusis and Hierapolis. The switch from Hades to Plouton seems to have been gradual though, so it's hard to say precisely when the one became the other.

I feel like this is kind of sloppily written, but if I've confused you or you have any other questions, I'll see if I can help more.