Question

How should I understand the Hilbert space of field theory on non-commutative spaces?

Answer 1

I'm looking for sources on non-commutative geometry and integration theory. I wonder if this theory might replace the standard theorey in the long run, as it seems to be more general. What are possible applications of this theory to physics? Connes has a lot to say about the Standard Model, but I don't really understand what that t

Answer 2

If you want to know what a Hilbert space is, I'll assume you at least know a tiny bit of linear algebra.