I'm a bit surprised that MLSE is going with "arena" since the risk of that kind of noun is that people will just shorthand it as "meet me at the arena" (or coliseum, or forum). You can't really do that with "place" or "centre".
But speaking of LA, I always thought they had one of the better corporate names on an older venue... the Great Western Forum. When I was a kid I thought it was a geographic reference (like Pacific Coliseum in Van), I didn't realize it was the name of a bank. Corporate names were still uncommon then, of course. But this one was a good fit.
Source: wikipedia