Coverings, correspondence, and noncommutative geometry [Elektronische Ressource] / vorgelegt von Ahmad Zainy Al-Yasry

Coverings, Correspondence,and Noncommutative GeometryDissertationzurErlangung des DoktorgradesderMathematisch-Naturwissenschaftlichen Fakulta¨tderRheinischen Friedrich-Wilhelms-Universita¨t Bonnvorgelegt vonAHMAD ZAINY AL-YASRYausBAGHDAD-IRAQBonn 2008Angefertigt mit Genehmigungder Mathematisch-Naturwissenschaftlichen Fakulta¨tder Rheinischen Friedrich-Wilhelms-Universita¨t BonnErster Referent: Prof. Dr. Matilde MarcolliZweiter Referent: Prof. Dr. Carl-Friedrich BoedigheimerTag der mündlichen Prüfung: 22. Dezember 2008Diese Dissertation ist auf dem Hochschulschriftenserver der ULB Bonnunter http://hss.ulb.uni-bonn.de/diss online elektronisch publiziert.Erscheinungsjahr: 2009To My Family,My Wife Sarah,And to Matilde Marcolli.AcknowledgementsI would like to express my gratitude to my supervisor Prof. Matilde Marcolli for her support andaid during this dissertation via ideas, guiding and her professionally answers of the questions. Whosealso expertise, understanding and patience added, considerably to my graduate experience. Also Iappreciate her vast knowledge and skill in many areas in mathematics since that this research wouldnot have been possible without her.A very special thanks to Max-Planck Institute for Mathematics (MPIM) in addition to the De-partment of Mathematics, University of Bonn, in Bonn, Germany, to give me this chance to completemy PhD.