Complex sentence: The band also has a tradition of inviting others to play with them onstage--some of the musicians who actually took them up on this offer include Beck, Ted Vander Clute, Dan Kapelovitz, and Ariel Pink.
Split into simpler sentences: The band also has a tradition of inviting others to play with them onstage. However, some of the musicians who actually took them up on this offer include Beck, Ted Vander Clute, Dan Kapelovitz, and Ariel Pink.