Projects and people

Hello
We want to set things up so that incoming mail gets directed to PROJECTS and also to PEOPLE. i.e. Messages received relating to a project should be immediately accessible in a "public" or shared area where anyone who works on the project can read it. Each message should ALSO be addressed to an individual recipient (this person is responsible for actioning/replying to the message).
We want to be able to allow everyone two views; they can go to the project and view the mail archive. Also they can go to a "my mail" list where they can see and manage all their mail on all their various projects and non-project mail.
How can we achieve this pleases?