In BGB 18.48, Sankara concludes that in jivanmukti, when avidya is no more, logically there can be no action.

“The One Existence, the sole Reality, is by avidya, imagined variously, as so many things undergoing production, destruction and the like changes, like an actor on the stage . . . [Action] is ascribed to the Self through avidya, and it has therefore been said that no ignorant man (avidvan) can renounce action entirely even for a moment (iii. 5). On the other hand, he who knows the Self is able to renounce action entirely, inasmuch as avidya has been expelled by vidya or wisdom ; for, there can be no residue left of what is ascribed by avidya. Indeed, no residue is left of the second moon created by the false vision of the timira-affected eye, even after the removal of timira” – A.M.Sastry

“it is only the one entity called Existence that is imagined variously through ignorance to be possessed of the states of origination, destruction, etc. like an actor (on a stage) . . . An unenlightened person is incapable of totally renouncing actions even for a moment (cf. 3.5). The enlightened person, on the other hand, can indeed totally renounce actions when ignorance has been dispelled through Illumination; for it is illogical that there can (then) remain any trace of what has been superimposed through ignorance. Indeed, no trace remains of the two moons, etc. superimposed by the vision affected by (the disease called) timira when the disease is cured” – Gambhirananda

“Reality is one only, which like an actor, plays numberless roles, assuming attributes like appearance and disappearance due to nescience . . . Through nescience it [action] is superimposed on the Self. The ignorant man cannot wholly give it up. But the wise man, once nescience is dispelled through knowledge can indeed do so; for there is no residue for an ignorantly precipitated superimposition. The double moon, seen with the diseased eye, is not seen once the disease is cured” – A.G.Krishna Warrier

BGB 13.2 provides more detail to BGB 2.69 – in which Sankara establishes that all objects of perception (ie world – body – mind) perceived by the organs of perception, are products of avidya and do not belong to the cogniser. He therefore logically concludes what this means for jivamukti (there can be no jivanmukta per se), where avidya / ignorance has been removed.

“When timira is removed by the treatment of the eye, the percipient is no longer subject to such perception, which is therefore not a property of the percipient. Similarly, non-perception, false perception, and doubt, as well as their cause, properly pertain to the instrument, to one or another sense organ, but not to the Kshetrajna, the cogniser. Moreover, they are all objects of cognition and cannot therefore form the properties of the cogniser, any more than the light of a lamp. And because they are cognisable, it follows also that they can be cognised only through some organ which is distinct from the cogniser; and no philosopher admits that, in the state of liberation wherein all the sense organs are absent – there is any such evil as avidya. If they (false preceptiont etc.) were essential properties of the Self, the Kshetrajna, as the heat is an essential property of fire, there could be no getting rid of them at any time” – A.M.Sastry

“Just as blindness of the eyes does not pertain to the perceiver since on being cured through treatment it is not seen in the perceiver, similarly notions like non-perception, false perception, doubt, and their causes should, in all cases, pertain to some organ; not to the perceiver, the Knower of the field. And since they are objects of perception, they are not qualities of the Knower in the same way that light is of a lamp. Just because they are objects of perception, they are cognized as different from one’s own Self. Besides, it is denied by all schools of thought that in Liberation, when all the organs depart, there is any association with such defects as ignorance etc. If they (the defects) be the qualities of the Self Itself, the Knower of the field, as heat is of fire, then there can never be a dissociation from them” – Gambhirananda

“When the eye is cured by right treatment, the cogniser’s vision ceases to be defective. Similarly non-apprehension, etc are due to the defects of the instruments of perception, and not to the field-knower who perceives. Besides being objects of knowledge, these defects cannot pertain to the perceiver in the way that light pertains to the lamp. Being knowable, these defects have to be cognised by a principle other than themselves; for all disputants agree that in the state of mukti, where instruments of cognition no longer exist, the perceiver has no flaws like nescience. If any attributes pertained to the Self, who is also the field-knower, as for instance heat does to fire, it would never be free from it” – A.G.Krishna Warrier

Dennis: “The body is inert. How can it do anything unless Consciousness is enabling it to do so?”

Rick: “Are fully realized and liberated jivanmukti conscious during deep sleep?”

BGB 2.69, which is considered to be the quintessence of the Bhagavad Gita, and arguably all of Advaita, sheds light on these questions. Three translations of Sankara:

“And all organs of knowledge (pramanas) are so called because they ultimately lead to a knowledge of the Self. When the knowledge of the true nature of the Self has been attained, neither organs of knowledge nor objects of knowledge present themselves to consciousness any longer.” – A.M Sastry

“Surely, after the realization of the true nature of the Self, there is no scope again for any means to, or end of, knowledge. The last valid means of (Self-) knowledge eradicates the possibility of the Self becoming a perceiver.” – Gambhirananda

“Once Self-realisation is won, it is no longer possible to discuss the distinctions between the means of knowledge and their objects. The last means of knowledge indeed liberates the Self from its status as a knower” – A.G.Krishna Warrier