Uniqueness of the multiplicative cyclotomic trace

Details Uniqueness of the multiplicative cyclotomic trace Uniqueness of the multiplicative cyclotomic trace

2011-03-21

arxiv.org/abs/1103.3923v1

Mathematics

K-Theory and Homology

16 pages

Scientific paper

Using Lurie's theory of infinite operads, we construct a symmetric monoidal structure on the infinite category of all functors (from small stable infinite categories to spectra) that satisfy additivity. The unit of this symmetric monoidal structure is the algebraic K-theory functor and (E-infinite) algebras correspond to the lax (symmetric) monoidal functors. As applications we show that the space of multiplicative structures on the algebraic K-theory functor is contractible, and that the cyclotomic trace can be characterized as the unique multiplicative natural transformation from K-theory to THH.

Affiliated with

Also associated with

No associations

Rating

Uniqueness of the multiplicative cyclotomic trace does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uniqueness of the multiplicative cyclotomic trace, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniqueness of the multiplicative cyclotomic trace will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-322614