I am looking for an example of a Fredholm module

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    Example module
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Discussion Overview

The discussion revolves around seeking examples of Fredholm modules, a concept in mathematics. Participants explore definitions, provide references, and share insights on specific examples and their properties.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant notes the difficulty in finding examples of Fredholm modules and seeks clarification on the term "hermitian involutive F."
  • Another participant provides a link to a simple example of a Fredholm module and shares additional references that may contain more examples.
  • A later reply expresses appreciation for the provided links, indicating a lighter tone regarding the complexity of the material.
  • One participant mentions a specific approach from a French paper by Alain Connes, discussing the division of the Hilbert transform by the imaginary number i to derive the F of the Fredholm module, highlighting aspects of hermicity.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on specific examples, as the discussion includes various references and approaches without a definitive agreement on a singular example.

Contextual Notes

The discussion includes references to external materials that may contain additional examples or explanations, but the completeness and applicability of these references are not verified within the thread.

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