Yes. Whenever I work remotely I make an effort to be very clear about when I'll be available and when not. I also make an effort to respond quickly to E-mails and other things just to signal that I am actually working during the times I am claiming to work.

When managing remote workers I hate it when somebody disappears and I don't know what's going on.

Remote work requires a high level of trust and responsibility from both sides so act accordingly.