Algebroids and Assembly

Paul David Mitchener (U Sheffield)

Wednesday 20th October, 2010 16:00-17:00 204


There are a number of situations in mathematics where a C*-algebra is associated to a geometric object. Often, this association is not functorial. In this talk we look at a generalisation of C*-algebras called C*-categories, and show how, in many situations, a C*-algebra can be replaced by an equivalent C*-category- and in the C*-category setting, the association we obtain is functorial. As time permits, we will apply this idea to assembly maps, and show how certain algebraic and analytic assembly maps fit into the same general machinery.

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