Overall, inductions are a team effort. The HR professional is typically the one to standardize the induction process for the company. They also cover HR items such as payroll, system set-up (such as assigning an employee number or email), and legally and company required documentation.
However, the direct manager of the new hire will most likely be the most hands-on in the process, monitoring that each step is completed and planning/coordinating each induction. Additionally, the whole staff should be encouraged to have an active role in ensuring the new hire feels accepted and welcome.