Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000
Series: Lecture Notes in Mathematics, Vol. 1831
Subseries: C.I.M.E. Foundation Subseries
Connes, A., Cuntz, J., Guentner, E.G., Higson, N., Kaminker, J., Roberts, J.E.
Doplicher, Sergio, Longo, Roberto (Eds.)
2004, XVI, 356 p.
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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 Level » Research
Keywords » C*-Algebras - C*-algebra - K-Theory - cyclic cohomology - noncommutative geometry - quantum field theory - quantum physics
Related subjects » Analysis - Quantum Physics - Theoretical, Mathematical & Computational Physics
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