The best approach for a project manager to engage a global project team, especially when travel is not an option, is to invest in a virtual collaboration/colocation environment. This allows for real-time communication, collaboration, and the building of team dynamics in a virtual space. It supports the creation of a shared workspace where documents, tools, and information can be accessed and worked on collaboratively, thus fostering a sense of team unity and improving productivity.
References: = The PMP Examination Content Outline1 and the PMBOK Guide2 both emphasize the importance of using technology to enhance project communication and collaboration. The Professional in Business Analysis Reference Materials also support the use of virtual environments to manage project teams effectively3.