TITLE: Learning roadmap for Non-commutative Geometry
QUESTION [5 upvotes]: I am interested in learning Non-commutative geometry and K-theory of operator algebras. Please suggest a learning roadmap for this subject. My present knowledge of Measure theory & Functional Analysis is very little.Please advise which topics in Functional Analysis and Operator Theory should I learn before starting Alain Connes' book 'Non Commutative Geometry' and references for the same. What are other prerequisites for reading this book ?

REPLY [8 votes]: I would recommend that you learn some Operator Algbras first, from say Murphy's Operator Algebras and Operator Theory. Then you can learn some K-theory from Rordam/Larsen/Laustsen's book Introduction to K-theory for Operator Algebras.
After that, you should be knowledgeable enough to find your own way around.