Seminar

Deformations of groups, C*-algebras and K-homology

Classification of operator algebras: complexity, rigidity, and dynamics

18 February 14:00 - 15:00

Marius Dadarlat - Purdue University

The homotopy symmetric $C^*$-algebras are those separable $C*$-algebras for which one can unsuspend in E-theory. We introduce a new simple condition that characterizes homotopy symmetric nuclear $C*$-algebras and use it to show that the property of being homotopy symmetric passes to nuclear $C*$-subalgebras and it has a number of other significant permanence properties. We shall explain that the augmentation ideal of any countable torsion free nilpotent group satisfies this property and discuss a general conjecture for amenable groups. This is joint work with Ulrich Pennig.
Organizers
Marius Dadarlat
Purdue University
Søren Eilers
University of Copenhagen
Asger Törnquist
University of Copenhagen

Program
Contact

Søren Eilers

eilers@math.ku.dk

Other
information

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