What is referred to as a partial admittance to criminal involvement?

The term that refers to a partial admittance to criminal involvement is an "Admission." This is applicable in legal contexts where an individual may acknowledge certain facts related to their involvement in a crime but does not fully confess to all the elements or the entirety of the alleged criminal act. Admissions often indicate acceptance of particular facts that can be used in court, while still leaving out aspects that may mitigate responsibility or imply innocence regarding specific charges.

Confession, on the other hand, typically involves a complete acknowledgment of guilt concerning the crime. Testimony is the formal statement made by a witness under oath, and an affidavit is a written statement confirmed by oath or affirmation, often used as evidence in court proceedings. While these terms involve declaration or acknowledgment, they do not convey the nuance of accepting limited liability or facts associated with the crime that the term "admission" captures.