As far as I know, NO Adobe software allows more than one person to have a file open at the same time
What you may do is break your document into individual files (based on chapters?) and then have one person in charge of the "master" file that is assembled out of the finished chapters
You can manage edits to content with InCopy
InCopy, yes, for text editing by multiple parties. But if you want to work on pieces of the pages with multiple people, you would have to build InDesign documents (for an ad, lets say) and place it in the master layout document. Yes, InDesign allows you to place other InDesign documents into the page. It treats it as if it were a placed graphic. That placed graphic could be worked on by a second operator on the network while another operator had the master layout open. Not perfect; but not a bad arrangement when speed is paramount.