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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
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