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Submission: 2007, Apr 16
Under a certain normalization assumption we prove that the Voevodsky's spectrum BGL which represents algebraic $K$-theory is unique over the integers. Following an idea of Voevodsky, we equip the spectrum BGL with the structure of a commutative ring spectrum in the motivic stable homotopy category. Furthermore, we prove that under a certain normalization assumption this ring structure is unique over the integers We pull this structure back to get a distinguished monoidal structure on BGL for an arbitrary Noetherian base scheme.
2000 Mathematics Subject Classification: 19E08, 55P43
Keywords and Phrases: Algebraic K-theory, ring spectrum, motivic homotopy theory
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