A I am looking for an example of a Fredholm module

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I found this in wikipedia
It only gives the definition of a Fredholm module. so i would like to find simple examples. what is this hermitian involutive F?
thanks
 
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Likes gentzen, Heidi, dextercioby and 1 other person
thanks a lot.
great links!
I didn't think this would be a read for the beach :)
 
In this french paper Alain Connes divides the Hilbert transform by the imaginary number i to get the F of the Fredholm module (hermicity and such FF = Id)
 
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