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AuthorConnes, Alain. author
TitleNoncommutative Geometry [electronic resource] : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 / by Alain Connes, Joachim Cuntz, Erik Guentner, Nigel Higson, Jerome Kaminker, John E. Roberts ; edited by Sergio Doplicher, Roberto Longo
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004
Connect tohttp://dx.doi.org/10.1007/b94118
Descript XVI, 356 p. online resource

SUMMARY

Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists


CONTENT

Cyclic Cohomology, Noncommutative Geometry and Quantum Group Symmetries -- Cyclic Theory and the Bivariant Chern-Connes Character -- Group C*-Algebras and K-Theory -- Geometric and Analytic Properties of Groups -- More Lectures on Algebraic Quantum Field Theory


Mathematics Functional analysis Global analysis (Mathematics) Manifolds (Mathematics) Gravitation Quantum physics Mathematics Global Analysis and Analysis on Manifolds Functional Analysis Quantum Physics Classical and Quantum Gravitation Relativity Theory



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