04234nam 22008055 450 991014462020332120200706122804.03-540-39702-710.1007/b94118(CKB)1000000000230852(SSID)ssj0000325195(PQKBManifestationID)11252805(PQKBTitleCode)TC0000325195(PQKBWorkID)10321395(PQKB)11161293(DE-He213)978-3-540-39702-1(MiAaPQ)EBC3087545(PPN)238032140(EXLCZ)99100000000023085220130622d2004 u| 0engurnn|008mamaatxtccrNoncommutative Geometry 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 G. Guentner, Nigel Higson, Jerome Kaminker, John E. Roberts ; edited by Sergio Doplicher, Roberto Longo1st ed. 2004.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2004.1 online resource (XVI, 356 p.) C.I.M.E. Foundation Subseries ;1831Bibliographic Level Mode of Issuance: Monograph3-540-20357-5 Includes bibliographical references.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.C.I.M.E. Foundation Subseries ;1831Global analysis (Mathematics)Manifolds (Mathematics)Functional analysisQuantum physicsGravitationGlobal Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Classical and Quantum Gravitation, Relativity Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19070Global analysis (Mathematics).Manifolds (Mathematics).Functional analysis.Quantum physics.Gravitation.Global Analysis and Analysis on Manifolds.Functional Analysis.Quantum Physics.Classical and Quantum Gravitation, Relativity Theory.530.15/255Connes Alainauthttp://id.loc.gov/vocabulary/relators/aut45062Cuntz Joachimauthttp://id.loc.gov/vocabulary/relators/autGuentner Erik Gauthttp://id.loc.gov/vocabulary/relators/autHigson Nigelauthttp://id.loc.gov/vocabulary/relators/autKaminker Jeromeauthttp://id.loc.gov/vocabulary/relators/autRoberts John Eauthttp://id.loc.gov/vocabulary/relators/autDoplicher Sergioedthttp://id.loc.gov/vocabulary/relators/edtLongo Robertoedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910144620203321Géométrie non commutative27633UNINA