Mine has three small green peppers left on it; I cut most of them off to bring it in. Since this is all an experiment anyway, I think I will see what happens the way it is. It is indoors in the (more or less) warm house, with some additional light (not as much as it could use, but what I could do). So the idea isn't for it to go dormant, but just to keep going. I imagine if I lived in the tropics that's what it would do.
If it looks like it's not making it, I will cut it back further.
Continuing the fall work, actually shut down the first couple beds, weeded out, cut everything back, pulled off some of the old mulch to compost, getting ready to put some more down. Brought in a few more tomatoes and peppers that were still out there and ALL the rest of the basil, no more out there!!