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1、LectureNotesinMathematics1831Editors:J.--M.Morel,CachanF.Takens,GroningenB.Teissier,ParisSubseries:FondazioneC.I.M.E.,FirenzeAdviser:PietroZecca3BerlinHeidelbergNewYorkHongKongLondonMilanParisTokyoA.ConnesJ.CuntzE.GuentnerN.HigsonJ.KaminkerJ.E.RobertsNoncommutativeGeometryLecturesgivenatt
2、heC.I.M.E.SummerSchoolheldinMartinaFranca,Italy,September3-9,2000Editors:S.DoplicherR.Longo13EditorsandAuthorsAlainConnesNigelHigsonCollegedeFrance`DepartmentofMathematics11,placeMarcelinBerthelotPennsylvaniaStateUniversity75231ParisCedex05,FranceUniversityPark,PA16802USAe-mail:connes@ihe
3、s.fre-mail:higson@psu.eduJoachimCuntzMathematischesInstitutJeromeKaminkerUniversitatM¨unster¨DepartmentofMathematicalSciencesEinsteinstr.62IUPUI,Indianapolis48149Munster,Germany¨IN46202-3216,USAe-mail:cuntz@math.uni-muenster.dee-mail:kaminker@math.iupui.eduSergioDoplicherRobertoLongoDipar
4、timentodiMatematicaJohnE.RobertsUniversitadiRoma"LaSapienza"`DipartimentodiMatematicaPiazzaleA.Moro5UniversitadiRoma"TorVergata"`00185Roma,ItalyViadellaRicercaScientifica100133Roma,Italye-mail:doplicher@mat.uniroma1.ite-mail:longo@mat.uniroma2.itErikGuentnerroberts@mat.uniroma2.itDepartmen
5、tofMathematicalSciencesUniversityofHawaii,Manoa2565McCarthyMallKeller401A,HonoluluHI96822,USAe-mail:erik@math.hawaii.eduCataloging-in-PublicationDataappliedforBibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliografie;
6、detailedbibliographicdataisavailableintheInternetathttp://dnb.ddb.deMathematicsSubjectClassification(2000):58B34,46L87,81R60,83C65ISSN0075-8434ISBN3-540-20357-5Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcer
7、ned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9