NL10: AK with A on river

[Wilpro]

Nothing much on villain, is this a spot for getting some value, or a standard check behind?

Poker Stars, $0.05/$0.10 NL Hold'em Cash Game, 6 Players
LeggoPoker.com (http://www.leggopoker.com) - Hand History Converter (http://www.leggopoker.com/hh)

BB: $6.90
UTG: $11.60
Hero (MP): $11.35
CO: $3
BTN: $6.95
SB: $13

CO posts $0.05
Pre-Flop: A/images/graemlins/heart.gif K/images/graemlins/diamond.gif dealt to Hero (MP)
UTG folds, <font color="red">Hero raises to $0.40</font>, 3 folds, BB calls $0.30

Flop: ($0.90) 5/images/graemlins/spade.gif J/images/graemlins/heart.gif 6/images/graemlins/spade.gif (2 Players)
BB checks, <font color="red">Hero bets $0.65</font>, BB calls $0.65

Turn: ($2.20) 2/images/graemlins/spade.gif (2 Players)
BB checks, Hero checks

River: ($2.20) A/images/graemlins/club.gif (2 Players)
BB checks, <font color="red">Hero ?

[Milky]

definitely bet for value here since it's unlikely he has anything that beats you, and there are plenty of hands that will call (weaker ace, maybe jack but I doubt he has one).