It might serve as more than a house of worship. It also depends on what strain of Judaism the congregation consists of. Reform Judaism tends to call its houses of worship "temples," while "synagogues" tend to refer to conservative and orthodox. It's also possible that if there's only one game in town, maybe they used "Jewish center" as a more all-encompassing term.
It serves both communities. I was wondering if it was a "center" because it didn't have a Torah or a rabbi or something.