The sleeve has no taper; the shrink disk consists of two parts w/ a shallow matching taper. As the bolts that connect them are tightened, the inner diameter of the disk contracts, clamping down on whatever the disk is placed over.
Since the taper is shallow, the amount of shrinkage is small - a few thousandths iirc. When I machined the drive sleeve, I made it a hand wringing fit over the splne and machined it from Stress-Proof steel (hardened 1144 alloy) from McMaster. This allowed the shrink disk to securely clamp the drive sleeve to the taper, yet when I removed the shrink disk I could readily remove the drive sleeve again, so the compression was within the elastic limit of the sleeve.
Compared with the difficulties of machining a metric spline in my home shop, this was a simple solution, and has been trouble free for the 10 years it's been in service.