Ivan Panin, Konstantin Pimenov, Oliver Roendigs: On Voevodsky's algebraic K-theory spectrum BGL

paniniv@gmail.com, kip302002@yahoo.com, oroendig@math.uni-osnabrueck.de

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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