Are there any keyboard shortcuts for using El Capitan Split View for Mac?
No shortcuts for Split Screen in El Capitan as far as I am aware.

However ShiftIt (completely free!) is amazing for this! Like just unbelievably brilliant.

Been using it since Mountain Lion.

https://github.com/fikovnik/ShiftIt/releases

Can also be installed via HomeBrew:

$ brew cask install ShiftIt


FYI I am in no way associated with this software's development.