Hyper-V must be off as well as other Windows features that use the CPU virtualization flag. Windows will not release the virtualization flag if you use any features Windows has with CPU virtualization, making it impossible to use additional virtualization software (such as Kaspersky's virtualization features).
VMWare workstation works perfectly fine with Kaspersky installed, just make sure Hyper-V and other windows virtualization features are disabled.
The BIOS virtualization feature must remain enabled, however.