Journal of Noncommutative Geometry

The Journal of Noncommutative Geometry covers the noncommutative world in all its aspects. It is devoted to publication of research articles which represent major advances in the area of noncommutative geometry and its applications to other fields of mathematics and theoretical physics. Topics covered include in particular:Hochschild and cyclic cohomologyK-theory and index theoryMeasure theory and topology of noncommutative spaces, operator algebrasSpectral geometry of noncommutative spacesNoncommutative algebraic geometryHopf algebras and quantum groupsFoliations, groupoids, stacks, gerbesDeformations and quantizationNoncommutative spaces in number theory and arithmetic geometryNoncommutative geometry in physics: QFT, renormalization, gauge theory, string theory, gravity, mirror symmetry, solid state physics, statistical mechanics.