I'm not sure if this is already possible. Can I have another application initiate an action to Google Home instead of having a person initiating by talking to it? For example: I wanted to have Smartthings IFTTT asking Google Home to play something. A couple cases below:
CASE 1: If I'm home and alarm armed and front door open then Smartthings will call Google Home for it to say: Front Door Opened
CASE 2: When the presence sensor detects I arrive Google Home greets me and ask if I would like to play anything.
Unfortunately not. Right now, Google Home doesn't have notifications or asynchronous messaging. And while it is useful in several cases, it is also very likely that there would be a lot of over-use of the notification system which would reduce its usability.