As far as I know, cold temps is not a problem, unlike excessive heat, which definitely is.
Record Storage Temperature
Due to running out of room, I have several crates of lps that I keep in an interior room over my garage that probably goes down to 50-55 degrees farenheit in the winter. I'm not playing them- I don't currently have a turntable set up, but plan to in the future. Will that temperature harm the albums in any way?