Motivic symmetric ring spectrum representing algebraic K-theory

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

Kim, Youngsoo

关键词: motivic spectrum;    algebraic K-theory;    ring spectrum;    standard vector bundles;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/16878/Kim_Youngsoo.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

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.