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Adjective: self-involved  self in'vólvd
  1. Absorbed in your own interests or thoughts etc
    "People who are self-involved can be rude, insensitive to the feelings of others";
    - self-absorbed

See also: egocentric [Brit], egoistic [Brit], egoistical [Brit], self-centered [Brit, US], self-centred [Brit, Cdn]