Motivic symmetric ring spectrum representing algebraic K-theory

Voevodsky showed that there is a motivic spectrum representing algebraic K-theory. We describe an equivalent spectrum that is also a symmetric ring spectrum. A coherence problem occurs when one verifies the symmetry. It is explained and solved by introducing a category of vector bundles with strictly associative tensor product that is also strictly commutative with line bundles.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2010

Author dc:creator

• Kim, Youngsoo

Contributors dc:contributor

• Grayson, Daniel R.
• McCarthy, Randy
• Ando, Matthew
• Rezk, Charles

• motivic spectrum
• algebraic K-theory
• ring spectrum
• standard vector bundles

Statement dc:rights

• Copyright 2010 Youngsoo Kim

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/16878

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/16878