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http://www.ncatlab.org/nlab/show/Kapranov%27s+noncommutative+geometry
http://mathoverflow.net/questions/15327/what-properties-should-spectrum-of-noncommutative-ring-have
A book by Connes and Marcolli: Noncommutative geometry, quantum fields and motives.
http://www.neverendingbooks.org/index.php/langlands-versus-connes.html
http://mathoverflow.net/questions/54186/reference-learning-noncommutative-geometry-and-c-algebras
Connes: Noncommutative geometry (1994). (Book)
Could check arxiv preprints of Michel Van den Bergh
nlab: spectral triple
http://www.noncommutative.org/index.php/top-10-noncommutative-geometry-books-for-newbies/
arXiv:1109.6688 Sklyanin algebras revisited from arXiv Front: math.AG by Igor Nikolaev It is proved that the Sklyanin algebra on 4 generators and 6 relations modulo an ideal is isomorphic to a dense sub-algebra of the noncommutative torus. As a corollary one gets a functor between the categories of elliptic curves and noncommutative tori.
This could be of some interest.
A survey by Mahanta
Lectures of Ginzburgeometry/0506603)
See arXiv articles by Manin. Survey article by Connes?
Authors to explore when time: Connes, Kontsevich, Feigin, Tsygan
Book: Surveys in noncommutative geometry
Lapidus: In search of the Riemann zeros
Artin and Zhang: Noncommutative projective schemes (1994)
nlab on noncomm geom
nLab on noncommutative algebraic geometry, see also NAG canon, noncomm scheme, descent in NAG.
http://ncatlab.org/nlab/show/spectrum+of+an+abelian+category
http://nlab.mathforge.org/nlab/show/Gabriel-Rosenberg+theorem
nlab on derived noncomm geom
nlab on the work of Maszczyk
http://nlab.mathforge.org/nlab/show/operator+algebra
http://ncatlab.org/nlab/show/locally+affine+space mentions noncommutative smooth spaces
Relevant blogs?
Cortinas has some papers on various forms of cohomology for noncommutative schemes (I think in the sense of Kapranov). All his papers seem to be on the arXiv
nLab page on Noncommutative geometry