Running a process as another user

Hi everyone. I would like to be able to run a process on a machine with administrator privilege regardless of the user currently logged on. (I have the access details for the network, it's not a crazy hacker thing!) For example, Sophos anti virus can request an administrator username and password and then use this to install updates on machines without requiring any user intervention. I would like to be able to remotely run code on machines without having to log on to them as administrator. I use c#. Any ideas? Thanks in advance, Chris