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Noncommutative Geometry and Physics 3 is written by Giuseppe Dito and published by World Scientific. It's available with International Standard Book Number or ISBN identification 981442501X (ISBN 10) and 9789814425018 (ISBN 13).
Noncommutative differential geometry has many actual and potential applications to several domains in physics ranging from solid state to quantization of gravity. The strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so as to be able to plug in noncommutativity in a natural way. Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field.