Motivic symmetric ring spectrum representing algebraic K-theory
Institution: | University of Illinois – Urbana-Champaign |
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Department: | |
Year: | 2010 |
Keywords: | motivic spectrum |
Record ID: | 1876026 |
Full text PDF: | http://hdl.handle.net/2142/16878 |
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 veri???es 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.