An involution on the K-theory of bimonoidal categories with anti-involution
Algebraic Topology
2014-10-01 v3 K-Theory and Homology
Abstract
We construct a combinatorially defined involution on the algebraic -theory of the ring spectrum associated to a bimonoidal category with anti-involution. Particular examples of such are braided bimonoidal categories. We investigate examples such as algebraic K-theory of connective complex and real topological K-theory and Waldhausen's K-theory of spaces of the form BBG, for abelian groups G. We show that the involution agrees with the classical one for a bimonoidal category associated to a ring and prove that it is not trivial in the above mentioned examples.
Cite
@article{arxiv.0804.0401,
title = {An involution on the K-theory of bimonoidal categories with anti-involution},
author = {Birgit Richter},
journal= {arXiv preprint arXiv:0804.0401},
year = {2014}
}