Noncommutative Geometry
Connes, Alain.
Noncommutative Geometry Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 / [electronic resource] : by Alain Connes, Joachim Cuntz, Erik Guentner, Nigel Higson, Jerome Kaminker, John E. Roberts ; edited by Sergio Doplicher, Roberto Longo. - XVI, 356 p. online resource. - C.I.M.E. Foundation Subseries ; 1831 . - C.I.M.E. Foundation Subseries ; 1831 .
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.
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.
9783540397021
10.1007/b94118 doi
Global analysis.
Functional analysis.
Quantum theory.
Global Analysis and Analysis on Manifolds.
Functional Analysis.
Quantum Physics.
Classical and Quantum Gravitation, Relativity Theory.
QA614-614.97
514.74
Noncommutative Geometry Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 / [electronic resource] : by Alain Connes, Joachim Cuntz, Erik Guentner, Nigel Higson, Jerome Kaminker, John E. Roberts ; edited by Sergio Doplicher, Roberto Longo. - XVI, 356 p. online resource. - C.I.M.E. Foundation Subseries ; 1831 . - C.I.M.E. Foundation Subseries ; 1831 .
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.
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.
9783540397021
10.1007/b94118 doi
Global analysis.
Functional analysis.
Quantum theory.
Global Analysis and Analysis on Manifolds.
Functional Analysis.
Quantum Physics.
Classical and Quantum Gravitation, Relativity Theory.
QA614-614.97
514.74