IMPRESSUM   DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Noncommutative homotopy theory Semester SoSe 2023 Lecturer Ulrich Bunke Type of course (Veranstaltungsart) Vorlesung German title Nichtkommutative Homotopietheorie Contents We extend the motivic construction of the stable infinity category representing KK to the equivariant case. We will construct various change of group functors (induction, restriction, crossed product) on the level of C*-algebras and lift them to the equivariant KK-theory. These functors fit into adjunctions which can be specialized to yield the classical Green-Julg theorem or Green's imprimitivity theorem. Thereby we will see various constructions of C^{*}-algebras with group actions and the calculation of their K-Theories. Literature https://arxiv.org/pdf/2102.13372 Recommended previous knowledge The material of the first part of this course can be found here: https://bunke.app.uni-regensburg.de/noncomhom.pdf Time/Date Mo 10-12, Do 10-12 Location M102 Additional question session Time/Date: Mo 14-16 Location: M104 Course homepage https://bunke.app.uni-regensburg.de/noncomhom.html (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Successful participation in the exercise classes: 2x successful presentation of solutions Examination (Prüfungsleistungen) Oral exam: Duration: 30, Date: individual, re-exam: Date: Modules MV, MArGeo, MGAGeo ECTS 9