You can assign a message to a colleague or another team by selecting their name from the "Assigned to:" list at the bottom of the message.
When you assign a message, it will disappear from that place in the inbox and move to where you assigned it to. If you have assigned a message to a colleague, they will receive a notification that they have been assigned a message and the message will appear in their "My Inbox".
If you accidentally assigned a message to the wrong person or Team, you can find the message by going to the "All" folder.
How will I know that someone has assigned a message to me?
You will get a red notification on your toolbar and a pop-up message like this:
Can I set up rules or automations?
This isn't something we support with the current Inbox but it might be something that we look at in future.