## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Friday, January 31, 2014 — 3:30 PM EST

The Cuntz semigroup W(A) of a C*-algebra A plays an important role in the structure theory of C*-algebras and the related Elliott classification program. It is defined analogously to the Murray-von Neumann semigroup V(A) by using equivalence classes of positive elements instead of projections.

Coward, Elliott and Ivanescu introduced the category Cu of (completed) Cuntz semigroups. They showed that the Cuntz semigroup of the stabilized C*-algebra is an object in Cu and that this assignment extends to a continuous functor.

We introduce a category W of (pre-completed) Cuntz semigroups such that the original definition of Cuntz semigroups defines a continuous functor from C*-algebras to W. There is a completion functor from W to Cu such that the functor Cu is naturally isomorphic to the completion of the functor W.

If time permits, we will apply this to construct tensor products in W and Cu. (joint work with Ramon Antoine and Francesc Perera).

Location

MC - Mathematics & Computer Building

5136B

200 University Avenue West

Waterloo, ON N2L 3G1

Canada

200 University Avenue West

Waterloo, ON N2L 3G1

Canada

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1