Based on the case reports they were able to trace the SR to him. That does not mean that he was initially found out because of a tor compromise. If such a compromise existed, they would have had to create a parallel construction to hide the fact the compromise existed, which would had been trival once they found their target.
Yes, he may have gotten sloppy, and that will be used as evidence against him, but that does not mean that is how he was initally discovered. That would only be known by the investgator, and the disclosed discovery may have been just to cover up the actual methods.
Basically, we know the offical report, but there is no way to validate its truth, and we are likely never going to know. It is interesting that following this another sting happened that brought down a huge number of other CP and other hidden service type sites. The timing is quite tight, so there is a likely tie between the two.
To answer your actual questions:
Is it known if deanonymization of the Tor communication played role in this operation?
It is unknown, and to say that it wasn't deanonymization of tor with any sureness is misguided.
If yes, is it known which techniques of attacking Tor anonymity were used?
The only hope we have is that our hackers are better than ours and that the open source community has found problems to fix better than the NSA. I have a fair amount of confidence that we have more eyes and more quality eyes looking at the problems, but then again, mistakes have been made.