Final answer:
The proteasome is the protein complex in the cytoplasm that generates peptide fragments which bind to MHC class I molecules, facilitating the T cell response to foreign proteins.
Step-by-step explanation:
The major mechanism for generating peptide fragments in the cytoplasm is via a giant protein complex known as the proteasome. This complex is responsible for degrading proteins, including those that are viral or parasitic in origin, into peptides that can bind to MHC class I molecules.
After this processing in the proteasome, peptides are transported into the endoplasmic reticulum by the transporter associated with antigen processing (TAP) system, where they can interact with MHC class I molecules and be presented on the cell surface, allowing T cells to recognize and respond to the infected cells.