involvement

noun

1. the act of sharing in the activities of a group"the teacher tried to increase his students' engagement in class activities"
2. a connection of inclusion or containment"he escaped involvement in the accident"
3. a sense of concern with and curiosity about someone or something"an interest in music"
4. a usually secretive or illicit sexual relationship
5. the condition of sharing in common with others (as fellows or partners etc.)