I admit I didn't follow this as much as I'd like to, and I wish it had some discussion of how this maps onto traditional signal processing frameworks in statistics and information theory, if it does.
Depending on your mathematical background, it may be easier to get a grasp on Tannaka duality, of which I assume, but don't know, this may usefully be viewed as a (possibly too) vast generalization.
Depending on your mathematical background, it may be easier to get a grasp on Tannaka duality, of which I assume, but don't know, this may usefully be viewed as a (possibly too) vast generalization.
https://en.wikipedia.org/wiki/Tannaka%E2%80%93Krein_duality