Is it permissible for a husband to take back his wife whom he divorced with an oath of divorce based on a false suspicion (of another man being in his house), then it became clear that she was innocent and that the visitor was her sister's son?

The wording of the divorce oath you swore concerning your wife is unclear to us. Did you make it conditional on her betrayal, or did you pronounce it as an absolute divorce? Therefore, it is necessary to consult the Sharia courts or present the matter to scholars to ascertain the wording of the oath, whether the breach occurred or not, and what consequences follow from that.