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I am specifically looking forward to study NCG from Connes's book.What are the absolute prerequisites needed

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closed as not a real question by Suvrit, plusepsilon.de, MTS, Yemon Choi, Andy Putman May 21 '12 at 23:36

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

    
There is a good discussion of such issues avail on MO; please expand your question a bit, otherwise it is too open-ended. –  Suvrit May 21 '12 at 16:09
    
Good working knowledge in (algebraic) topology, (differential) geometry and (quantum) physics... –  user5831 May 21 '12 at 16:17
    
I forgot Operator Algebras... –  user5831 May 21 '12 at 16:18
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From what I experienced, you should rather read a few pages for getting an idea, what a specific topic and its ncg analogue is about, and then look at the references/search the web. The book seemed fairly sketchy at my level, but provides often the big picture. From what I was told, some fairly well-known people are doing research, which is motivated partly by understanding/explaining a few pages from this book to a wider audience. –  plusepsilon.de May 21 '12 at 17:06
    
As Mrc Plm says, this is not really a book that one can study from. Rather it is useful for getting the big picture about NCG. That said, I am voting to close - this question is not specific enough. –  MTS May 21 '12 at 17:24
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1 Answer 1

$C^\ast$-algebra would be a good place to start. Afterwards, you can learn $K$-theory of $C^\ast$-algebras.

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