Operator Algebra Seminar

Speaker:  Ulrich Pennig (WWU Münster)

Title: Deformations of nilpotent groups and homotopy symmetric C*-algebras

Abstract : The homotopy symmetric C*-algebras are those for which one can unsuspend in E-theory. I will talk about joint work with Marius Dadarlat in which we develop a 
new condition that characterizes homotopy symmetric nuclear C*-algebras. It can be used to show that the property of being homotopy symmetric passes to nuclear C*-subalgebras and it also implies a number of other significant permanence properties. Using this new approach, one can show that the augmentation ideal I(G) of a countable discrete torsion free nilpotent group G is homotopy symmetric.