The 3 C's of my team: Communication, Closeness and hence Cooperation

A lean team needs to know how to cooperate.
Cooperation becomes possible through communication only.
Communication is most effective when the team members feel close to each other, and can adjust constantly through continuous feedback.

One way to get this going could be a 10min week-start-session Monday mornings and a 10min week-closeoff-session every Friday evening. Come up with ways to energize the team. Set the week's goal and evaluate it at the end of the week. Don't let the team think you have no time for them. Let the different parts of the team have a chance to talk to each other too.