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Elements of Noncommutative Geometry (Birkhauser Advanced Texts Basler Lehrbucher) PDF

714 Pages·2000·20.931 MB·English
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Preview Elements of Noncommutative Geometry (Birkhauser Advanced Texts Basler Lehrbucher)

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This volume covers a wide range of topics including sources of noncommutative geometry; fundamentals of noncommutative topology; K-theory and Morita equivalance; noncommutative integrodifferential calculus; noncommutative Riemannian spin manifolds; commutative geometrics; tori; proof of Connes' Riemannian spin theorem; second quantization; noncommutative quantum field theory; C*-algebras; Hopf algebras; Clifford algebras; Moyal algebras; pseudodifferential operators; the commutative Chern character theorem.
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