CDN Liability in Notice-and-takedown

Under 17 U.S. Code § 512 of the Digital Millennium Copyright Act (DMCA) – To remove or disable access to the material claimed to be infringing requires that the material in question resides on a system or network that is controlled by or for the website operator.
CDN out of Notice-And-Takedown
CDN is not a web hosting service, so it is not bears liability, to perform takedown operations.