Benefits for Riemannian geometry from noncommutative analysis?

Possible duplicate: http://mathoverflow.net/questions/88184/what-is-the-significance-of-non-commutative-geometry-in-mathematics

Hi, I've read some introductory articles and lecture notes on (Connes) noncommutative geometry that generalizes Riemannian geometry. I was wondering whether there are any benifits/results in the back direction, i.e. Results in Riemannian geometry that are obtained by methods in noncommutative geometry? Thanks in advance.

edited May 25 at 21:34

MTS
5,306●1●9●27

asked May 25 at 20:47

ngl
1

See this question: mathoverflow.net/questions/88184/… for some examples. There are lots of applications to foliations and index theory, to name just two examples. Also, in a slightly different vein, the rational injectivity of the assembly map (keyword: Baum-Connes conjecture) implies the Novikov conjecture. – MTS May 25 at 21:01

In fact, I am voting to close this question as a duplicate of the one I linked to. – MTS May 25 at 21:35

Great, thanks a lot. – ngl May 27 at 18:59

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