Motivic symmetric ring spectrum representing algebraic K-theory
by Kim, Youngsoo, Ph.D., UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN, 2010, 92 pages; 3452189

Abstract:

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.
 
AdviserDaniel R. Grayson
SchoolUNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
SourceDAI/B 72-06, p. , May 2011
Source TypeDissertation
SubjectsMathematics; Theoretical mathematics
Publication Number3452189
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