Can different end users share inbox 'Category' lables from a shared email account?

I work in a group where several of us use a Delegated Google Mail Apps account. We each tag emails we have read in the inbox with a custom titled ‘Category’ (defaults are ‘Red Category’ or ‘Blue Category’ we use names such as ‘Sam’ or ‘Dave’).

Is there a way for those Category marks (including titles) to propagate to each end user’s client?

I am only able to make flags propagate at this time.

Hi, this is unfortunately not possible to do on Gmail.