Dumped Colony Cat?

So this cat showed up in my yard a couple of weeks ago. 

Jim put traps out immediately but the cat never came back. Ever since then, I’ve been watching a house leave a lot of garbage in our alley, like they’re moving. And I started seeing a lot of cat supplies with the garbage. I was wondering if maybe they then put the cat out as they were moving.

Then a few nights ago, I saw this makeshift outdoor cat shelter in their garbage.

I also saw a cat that looked like the one above, but he ran from me. Not really sure what to make of this, but if this cat is dumped, he’s on a good block. This is directly across from the La Vida Lydia Colony, and he obviously already found my colony. But he hasn’t come back, and I’ve been trapping here all month. One day I hope I can solve this mystery, and of course, trap this cat.