E-theory for C*-categories

Sarah Browne

*(Kansas University)*

Zoom 467 658 1686

__Abstract:__

C*-categories were formulated to give a theory of operator algebras in a categorical picture and play important role in the study of mathematical physics. They are analogous to C*-algebras and have invariants defined coming from C*-algebra theory but one was not defined for E-theory, a bivariant version of K-theory. E-theory was originally defined concretely by Connes and Higson and we generalise the definition to C*-categories. The talk will begin with an introduction to C*-categories before stating the definition of E-theory and showing the properties of E-theory still hold in this framework. This is based on joint work with Paul Mitchener.

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