I made a Workflow with the very first step to send me an e-mail. The next step is to set the workflow state from (unset) to something else.
When I look at the workflow-state in SharePoint, it says the workflow was started and the "state"-field is still empty. I conclude, that it doesn't get past the first step.
However, I get notifications and other mails from SharePoint, so the basic functionality works.
//edit1:
Mail address wrong: I did not enter the mail-address manually. I entered the persons name ("selected users") to send the mail to and sharepoint designer recognized it. It's an Office365-package, so I think it get's the names and addresses from exchange. The workflow also includes a "assign task"-action which also sends a mail and which also does not work.
Privileges: How can I see the privileges the workflow is run with? I created it by opening the site in sharepoint designer and logging in with my username. I am not administrator of sharepoint, but since it's a playground site, everybody has all privileges there.
Unrelated to these issues, I think a workflow should never just hang indefinitely like this? Nothing has happened in the last two days, it still has not progressed past the first action.