You can share a OneNote file to invite people to join your project and work collaboratively or read the file in view-only ...
The only way to really rename a OneNote notebook is to go through the OneDrive website, which holds all your Microsoft 365 ...
I have Onenote 2007 on the desktop and there is a shared notebook on the laptop. Ok enough, it was shared back in Feb of 2010 and all was cool. Then, while on the road, I ran the battery down too low ...