On the Unstable Bivariant Cuntz Semigroup

Gabriele Tornetta (University of Glasgow)

Tuesday 12th February, 2013 16:00-17:00 Maths 203

Abstract

A first attempt at a Bivariant Cuntz Semigroup was made by Wilhelm Winter in
2009. During a workshop in Muenster he presented a stable version of the
Bivariant Cuntz Semigroup. In this talk an unstable version will be 
introduced instead, which coincides with Winter's theory when restricting to stable
C*-algebras. The discussion will focus on functoriality, and all the 
properties that have been discovered so far will be presented. Finally, the attempt 
at an equivalent description in terms of suitable Hilbert bimodules will be 
motivated and briefly discussed.

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