/usr/include/PackageKit/ is in libpackagekit-qt2-dev 0.7.2-4ubuntu3.
This file is owned by root:root, with mode 0o755.
..
/usr/include/PackageKit/packagekit-qt2/
/usr/include/PackageKit/packagekit-qt2/Daemon
/usr/include/PackageKit/packagekit-qt2/Eula
/usr/include/PackageKit/packagekit-qt2/Package
/usr/include/PackageKit/packagekit-qt2/Signature
/usr/include/PackageKit/packagekit-qt2/Transaction
/usr/include/PackageKit/packagekit-qt2/bitfield.h
/usr/include/PackageKit/packagekit-qt2/daemon.h
/usr/include/PackageKit/packagekit-qt2/eula.h
/usr/include/PackageKit/packagekit-qt2/package.h
/usr/include/PackageKit/packagekit-qt2/signature.h
/usr/include/PackageKit/packagekit-qt2/transaction.h