JJERetired wrote:
I have a HP Officejet J4680 all in one printer that has a ad hoc network called hpsetup. My MacBook Air has always shown it under my networks when I click on the wifi icon. I can then connect and print wireless. When I upgraded to Big Sur the network hpsetup no longer shows. The network (hpsetup) does show on my iPhone and iPad so I know it's a live network. It is not air print compatible so I cannot print from those devices. Why does my MacBook Air (using OS Big Sur) no longer recognize hpsetup and how do I fix it?
Open >System Preferences>Software Update (Command R will reload and do a fresh check)
Update: HP Printer Software 5.1 should now be becoming available through Software Update to fix this issue.
(2220 UTC 23 October 2020)

or Apple direct download:
https://support.apple.com/kb/dl1888?locale=en_US
If you have continued issue:
The solution is to download this package which will update drivers AND THE CERTIFICATE:
ftp.hp.com/pub/softlib/software12/HP_Quick_Start/osx/Installations/Essentials/hp-printer-essentials-S-5_14_8_4.pkg
download link above at the ftp address
If you still have an issue, delete the existing printer in
> System Preferences> Printers & Scanners, and add it again.
Connect an AirPrint printer to a Wi-Fi network - Apple Support.
https://support.apple.com/en-us/HT201900
you can also try reset print system if necessary:
If you can't print from your Mac or iOS device - Apple Support
https://support.apple.com/en-us/HT203343