Does a page table itself have a virtual address?

If not, how does the keel build a page table when creating a new process, and modify a page table entry when swapping in/out a page of a process? I think that instructions, ruing in either user mode or keel mode, can only use a virtual address (which is then converted to a physical address by the CPU inteal hardware) to access anywhere in the RAM (and memory-mapping peripherals), unless MMU is disabled.

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