Jean Vincent Bellissard * [institute page](https://math.gatech.edu/people/jean-bellissard) * [Wikipedia entry](https://en.wikipedia.org/wiki/Jean_Bellissard) * [inSpire page](https://inspirehep.net/authors/1016849) * [GoogleScholar page](https://scholar.google.com/citations?user=zdofxAUAAAAJ&hl=en) ## Selected writings Early discussion of what much later become known as the [[K-theory classification of topological phases of matter]]: * [[Jean Bellissard]]: *K-theory of $C^\ast$-Algebras in solid state physics*, in: *Statistical mechanics and field theory: Mathematical Aspects*, Lecture Notes in Physics **2577**, Springer (1986) 99–156 \[<a href=" https://doi.org/10.1007/3-540-16777-3_74">doi:10.1007/3-540-16777-3_74</a>, [inSpire:222243](https://inspirehep.net/literature/222243), scan:[pdf](https://lib-extopc.kek.jp/preprints/PDF/1986/8604/8604219.pdf)\] and applied to [[quasicrystals]] via [[KK-theory]] of the [[noncommutative topology of quasiperiodicity]]: * {#Bellissard03} [[Jean Bellissard]], *The Noncommutative Geometry of Aperiodic Solids*, in: Geometric and Topological Methods for Quantum Field Theory, pp. 86-156 (2003) ([pdf](http://people.math.gatech.edu/~jeanbel/Publi/ncg02.pdf), [doi:10.1142/9789812705068_0002](https://doi.org/10.1142/9789812705068_0002)) Discussion of the [[integer quantum Hall effect]] via a [[Brillouin torus]] with [[noncommutative geometry]] and using the [[Alain Connes|Connes]]-[[Chern character]]: * {#BvESB94} [[Jean Bellissard]], A. van Elst, H. Schulz-Baldes: *The noncommutative geometry of the quantum Hall effect*, J. Math. Phys. __35__ 5373 (1994) \[<a href="http://link.aip.org/link/doi/10.1063/1.530758">doi:10.1063/1.530758</a>, [cond-mat/9411052](http://arxiv.org/abs/cond-mat/9411052)\] category: people