Institut for Matematiske Fag > Kalender
Institut for Matematiske Fags kalender
Baby NCG Seminar
Taler(e): Henrik Densing Petersen, Adam Sørensen
Onsdag den 20. juni 2012 kl. 13:15-14:00. Sted: Aud 7. Sprog: engelsk.
Henrik will be presenting the following preprint:
Weak Exactness for C*-algebras and Application to Condition (AO) (arXiv:1206.0388)
We generalize Kirchberg's weak exactness to inclusions of C*-algebras in von Neumann algebras and study some characterizations and permanence properties which are similar to those of exact groups. We then consider a similar condition to Ozawa's condition (AO) with our weak exactness and generalize Ozawa's theorem for bi-exact groups. As a corollary, we give new examples of prime factors.
Adam will be presenting the following preprint:
The Cuntz semigroup of continuous fields (arXiv:1205.6608)
Ramon Antoine, Joan Bosa, Francesc Perera
In this paper we describe the Cuntz semigroup of continuous fields of C$^*$-algebras over one dimensional spaces whose fibers have stable rank one and trivial $K_1$ for each closed, two-sided ideal. This is done in terms of the semigroup of global sections on a certain topological space built out of the Cuntz semigroups of the fibers of the continuous field. When the fibers have furthermore real rank zero, and taking into account the action of the space, our description yields that the Cuntz semigroup is a classifying invariant if and only if so is the sheaf induced by the Murray-von Neumann semigroup.
Organiseret af Adam and Jamie