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Grayson, Daniel R. McCarthy, Randy Grayson, Daniel R. Ando, Matthew Rezk, Charles Kim, Youngsoo 2010-08-20T18:00:36Z 2010-08-20T18:00:36Z 2010-08-20T18:00:36Z 2010-08 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. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-07-14T19:20:19Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Kim_Youngsoo.pdf: 542621 bytes, checksum: 45c33a32cb7392fab52fb710c1d2b82a (MD5) Made available in DSpace on 2010-08-20T18:00:36Z (GMT). No. of bitstreams: 2 Kim_Youngsoo.pdf: 542621 bytes, checksum: 45c33a32cb7392fab52fb710c1d2b82a (MD5) license.txt: 4060 bytes, checksum: ac88d0c8e4f7f9b864763cffee359e5d (MD5) http://hdl.handle.net/2142/16878 en Copyright 2010 Youngsoo Kim motivic spectrum algebraic K-theory ring spectrum standard vector bundles Motivic symmetric ring spectrum representing algebraic K-theory Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC