What is a HIPAA compliant alternative to Google Groups?

Yes there is. It is Curogram , a HIPAA Compliant Web-Based SMS App for Your Office.This apps allowed you to send and receive text messages via web to any mobile phones. It has a unique phone number to your business, you will allow your customers to have a fast way of reaching out to you through sending sms. read more

John Proffitt is correct in that a lot of HIPAA compliance in email depends heavily on process and people. But if the technology is not in place, no amount of process can make Google Apps or Gmail HIPAA compliant. read more