Yes, push notifications are definitely in the plans. The issue where you have to force quit the app to see group invites is a bug — I’ll look into it. Thanks for pointing it out!
any plans for how to handle notifications in 0xchat lite ? i am testing and got it to work with my nostr relay tray running on my lap top at home (https://github.com/CodyTseng/nostr-relay-tray), which is pretty cool ( I did have to force quit the app, then re-open to see the group invites but works fine after that).