Multiplicative infinite loop space machines produce out of bimonoidal categories (or
infinity categories) E-infinity ring spectra. This procedure can be viewed as endowing
direct sum K-theory of symmetric monoidal (infinity) categories with a multiplication.
In this talk we will present a similar procedure for hermitian K-theory of infinity categories
with a notion of duality. We will show that any preadditive rigid symmetric monoidal infinity
category gives rise to a direct sum hermitian K-theory E-infinity spectrum. Examples will
include finite type projective modules over E-infinity ring spectra. This is joint work with
Hadrian Heine and Alejo Lopez-Avila.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444
[3] http://www.mpim-bonn.mpg.de/de/node/6477