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Group affect refers to the subjective emotion that is evoked by an external stimulus in a group, which is an important factor that shapes group behavior and outcomes. Recognizing group affect involves identifying important individuals and salient objects among a crowd that can evoke emotions. Most of the existing methods are proposed to detect faces and objects using pre-trained detectors and summarize the results into group emotions by specific rules. However, such affective region selection mechanisms are heuristic and susceptible to imperfect faces and objects from the pre-trained detectors. Moreover, faces and objects on group-level images are often contextually relevant. There is still an open question about how important faces and objects can be interacted with. In this work, we incorporate the psychological concept called Most Important Person (MIP). It represents the most noteworthy face in the crowd and has an affective semantic meaning. We propose the Dual-branch Cross-Patch Attention Transformer (DCAT) which uses global image and MIP together as inputs. Specifically, we first learn the informative facial regions produced by the MIP and the global context separately. Then, the Cross-Patch Attention module is proposed to fuse the features of MIP and global context together to complement each other. With parameters less than 10x, the proposed DCAT outperforms state-of-the-art methods on two datasets of group valence prediction, GAF 3.0 and GroupEmoW datasets. Moreover, our proposed model can be transferred to another group affect task, group cohesion, and shows comparable results.