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To ripen, tomatoes prefer

To ripen, tomatoes prefer temperatures between 68 and 77 degrees. The further away from these temps, the slower the ripening process. If it's too hot or cold, they'll stop ripening altogether!
You can't do much to speed up the process except, perhaps, take off the leaves if you feel it's getting too cold and they need more sunlight.
Once the tomatoes have reached the mature green stage, they will ripen off the vine.  Never put tomatoes in a refrigerator; it's too chilly and you'll ruin that off-the-vine taste!