Interesting enough, each ISS contributor retains ownership. http://www.esa.int/Our_Activities/Human_and_Robotic_Exploration/International_Space_Station/Interna

Interesting enough, each ISS contributor retains ownership. http://www.esa.int/Our_Activities/Human_and_Robotic_Exploration/International_Space_Station/International_Space_Station_legal_framework http://www.esa.int/Our_Activities/Human_and_Robotic_Explorat... But the nexus of the crime involves a US person, so the US has the authority to investigate independent of what or where or who allegedly was involved.