Unit spectra of K-theory via strongly self-absorbing C*-algebras
Ulrich Pennig (University of Muenster)
Tuesday 5th November, 2013 16:00-17:00 Maths 416
I will speak about an operator algebraic model for the first space of the unit spectrum of complex topological K-theory, i.e. BGL_1(KU), and related
infinite loop spaces via bundles of stabilized strongly self-absorbing C*-algebras. The proof that the classifying space of these bundles has the right
homotopy type is based on the I-monoid model for GL_1(KU) developed by Sagave and Schlichtkrull. I will try to keep the material self-contained,
so no prior knowledge about infinite loop spaces is required to follow the talk. The results are joint work with Marius Dadarlat.