A I am looking for an example of a Fredholm module

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The discussion centers on finding examples of Fredholm modules, with initial references to Wikipedia's definition. Participants note the difficulty in locating simple examples, leading to shared links, including one from PlanetMath and two from an arXiv paper. A French paper by Alain Connes is mentioned, which explores the Hilbert transform in relation to the Fredholm module's hermicity. The conversation highlights the complexity of the topic while providing useful resources for further understanding. Overall, the thread emphasizes the challenge of finding accessible examples of Fredholm modules.
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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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