Affiliation:
Dalhousie University
Date:
Wed, 18/06/2025 - 16:30 - 17:30
The topological K-theory of Z/2-graded C*-algebras plays an important role in operator theory. Historically, finding the definition was rather subtle, for several reasons. For example, simply taking the K-theory of a category of graded modules does not give the 'correct' definition, as I will explain. The definition of Z/2-graded C*-algebras by Karoubi is mostly outmoded because of Kasparov's KK-theory, whose technical definitions are more amenable to computations in index theory.