My wife is a Canadian citizen and US green card holder. I am a US citizen currently applying for Canadian PR. We would ideally like to live in Canada, but work in the US. Would my wife lose her green card if we had this type of arrangement? Thank you for your input.

I think there are several ways you can do this, but the easiest part is for both of you to become citizens of both countries! That will solve the problem of taxation, residency requirement, etc etc and avoid any problems of potentially loosing the green card or get some problems over something silly. Both countries allow dual citizenship

But, if you do decide to keep the current situation, make sure the wife visits US every so often to maintain the residency requirement.

You do know that you have a luxury problem......?!:)