I want to try to understand non commutative geometry by reading Connes's book ..and I am discovering it is a hard book to read :-) as I miss a lot of background specially in operator algebra and homology theory ( my field is nonlinear PDE so I know a bit of functional analysis already- at least the one used in my field).

So my question: what reading could be recommended in order to prepare a non expert mathematician to read Connes's book? For example, there are so many book on operator algebra or homology theory ...and my personal pick will be random, so I am seeking for expert recommendations:

Thanks in advance JF