Connecting a 12V adapter (like a car adapter) to an inverter to power an induction stove is not a practical or feasible solution. The main reason is that induction stoves require much higher power (voltage and current) than what a standard 12V adapter can provide.
Induction stoves typically operate at a voltage of 220-240V (or 110-120V in some regions) and draw a significant amount of current, usually in the range of tens to over a hundred amps, depending on the stove's wattage and design. On the other hand, a 12V adapter is designed to provide a much lower current output, typically in the range of a few amps at most.
Using an inverter to convert the 12V DC from the adapter into 220-240V AC (or 110-120V AC) might be technically possible, but it wouldn't solve the problem of inadequate amperage. The inverter can step up the voltage, but it cannot increase the available current beyond what the 12V adapter can provide.
Additionally, induction stoves are high-power appliances designed for use with standard household electrical outlets. Attempting to power them using a 12V adapter and an inverter would result in the induction stove not receiving enough power to function properly or at all. At worst, it could damage the stove, the inverter, or even cause electrical hazards due to the mismatch in power requirements.
If you need to power an induction stove, you must use the appropriate electrical outlet with the correct voltage and current capacity. It is not recommended to attempt any DIY modifications or makeshift solutions for powering high-power appliances like induction stoves, as they can be dangerous and may void warranties. Always use appliances according to the manufacturer's guidelines and consult a qualified electrician if you have any doubts or specific power requirements.