AKs should mostly 4-bet pre, then call the flop c-bet; turn is a mix of bet and check, and river is a mandatory call given the price.
Flop K92 rainbow, BB c-bets small into a pot of 35bb. With top pair top kicker we’re getting ~3.3:1 and need only ~23% equity, so calling is standard. Solver prefers mostly calling with some large bets, but a medium raise like this is acceptable—our hand is strong and we can value-raise versus worse Kx and overpairs.
Turn 7h, SPR ≈0.5; after we raise flop and BB calls, our range is strong and BB’s range is capped. Checking back is fine, but solver prefers a half-pot bet with top pair—this sizing pressures worse Kx and overpairs while still keeping the pot under control.
Note: Turn check is acceptable, but solver slightly prefers a half-pot bet with top pair to pressure worse Kx and overpairs.
River 4d, BB now has ~1bb behind and jams 47bb into 2bb, so we’re getting ~3.1:1 and need ~24.5% equity. Solver shows a mix of call and fold here, but given the pot odds and the fact that we’re never folding, the decision is effectively forced.