BPMN11 — how to model a process where more than one participant (pool) plays a part

Reading over the BPMN spec, my main question is how to model a process where more than one participant (pool) plays a part in it. We have many Visio diagrams where a process is drawn across several swimlanes to denote that several people/groups take part in one process. This seems to be very intuitive for people. Is there any way to model a process across pools, or does BPMN require the modeling of multiple processes (with similar names)? names?

see above