Noncommutative Geometry and Physics 3: Proceedings of the Noncommutative Geometry and Physics 2008, on K-theory and D-brane, Shonan Village Center,...

Noncommutative Geometry and Physics 3: Proceedings of the Noncommutative Geometry and Physics 2008, on K-theory and D-brane, Shonan Village Center,...
ISBN-10
981442501X
ISBN-13
9789814425018
Category
Mathematics
Pages
536
Language
English
Published
2013
Publisher
World Scientific
Authors
Giuseppe Dito, Motoko Kotani, Yoshiaki Maeda

Description

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.

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