LJ position, tourney was about midway through, blinds were 3k/6k with an ante, had 90BB and dealt AA. action folds to me and I raise 3bb, action folds to button who calls, SB folds and BB calls. Button has my stack covered by about 5BB

Flop - Jc Td 8h

BB checks, I bet half pot, button calls and BB folds

Turn - 9c

I check and button bets half pot, I lay it down. I dunno if that was the right play though as I didn't think the button would bluff in that situation. Was it the right play?