Graduate I am looking for an example of a Fredholm module

[Heidi]

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

 

[fresh_42]

It appears that it is indeed difficult to find examples.
Here is a very simple one:
https://planetmath.org/fredholmmodule,
here are two more (page 3):
https://arxiv.org/pdf/math/0201094.pdf
and here are some promising references
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.139.6161&rep=rep1&type=pdf

 

[Heidi]

thanks a lot.
great links!
I didn't think this would be a read for the beach :)

 

[Heidi]

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)