# Prerequisites to start the study of noncommutative geometry in physics

What are prerequisites (in mathematics and physics), that one should know about for getting into use of ideas from noncommutative geometry in physics?

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Physical applications of noncommutative geometry rely mainly on the spectral triple formalism. This being a noncommuative version of Riemannian (spin) geometry, it would be advisable to know then first the commuative case (spin geometry itself)-Friedrich's book on Dirac operators is a good reference. This generalization uses lots of operation algebraic concepts. Varilly's books on NCG are recommended. The recent survey arXiv:1204.0328 is adressed to physicists.

The next level would be the book of Connes and Marcolli: "NCG, QFT and Motives " http://alainconnes.org/docs/bookwebfinal.pdf

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I assume from the way you phrase your question that you already are familiar with Connes's work itself. If not, you would need to prepare by studying Dixmier's book on von Neumann algebras or Guichardet or Dixmier, Les $C^*$-algebres et leurs représentations. Hope this helps.