You cannot give up karma, not because you are bound to karma, its because you were and can never be a karta. Karta is mithya, and atma is satyam, satyam is never connected with mithya, mithya is non separate from satyam. Satyam is pure clay. Mithya is pot , jug etc.
Because the distinction is seen and atma is seen as satyam karma is never a problem. Karta is never a problem.
The other fact is atma is anantam. Anantam is not a corrolary, its the svarupa of atma.
Its easier to understand sat and chit, atma is, atma is consciousness.
But anantam is a bit involved.
The method is as follows:
You use the shabda pramana to see that atma is anantam. Here the word see refers to understanding directly gained from shabda pramana, other pramanas like pratyaksha and anumana have no access to this understanding that only the shabda praman offers.
The pramana is the meaning of the mahavakya, the mahavakya and its meaning is itself the pramana. Just the eye and its vision (what is seen).
So here meaning of tat tvam asi helps us know atma svarupa is anantam , the word anatam is clarified.
How? By understanding tat pada. Tat pada is isvara lord, who is non separate intelligent and material cause. This lord is obviously satchit, but also this lord is by himself bigger than any bigness.
Imagine all of space, and isvara is the truth about space. Which means isvara is neither inside, nor outside space, in fact space is a derivative of maya the material cause, and this material cause maya is non separate from isvara. This automatically means this isvara is limitless wrt space time as being the very mother of time alongside maya.
Now being the truth about maya, as maya is mithya, the nature of isvara is then of course anantam. The limitlessness cannot be a property of maya, as maya has no even being of its own. Only a being can have isness, and only what IS can be limitless. As it has to be 'something' to be limitless. Also limitlesness cannot have a limited being as its ashraya or its truth. Therefore the svarupa of isvara is limitless.
In the tat tvam asi, the jiva, avasta traya sakthi is equated to this limitless existence consciousness that is the satyam, truth about maya sahita isvara, maya sahita isvara being mithya. Jivatvam is also mithya. Negating mithya, at the paramartha - atma is isvara, non dual reality, which is sat chit ananta svarupa, non dual , unchallenged, whole without a second.
