The nilpotence theorem for the algebraic K-theory of the sphere spectrum
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Abstract
We prove that in the graded commutative ring $K _∗ ( S )$ , all positive degree elements are multiplicatively nilpotent. The analogous statements also hold for $TC ∗ ( S )_p^\wedge$ and $K _∗ ( Z )$.
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This record is for a(n) offprint of an article published in Geometry and Topology on 2017-08-31; the version of record is available at https://doi.org/10.2140/gt.2017.21.3453.
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Blumberg, Andrew J., and Mandell, Michael A. "The nilpotence theorem for the algebraic K-theory of the sphere spectrum." Geometry and Topology, no. 6, 2017-8-31, https://doi.org/10.2140/gt.2017.21.3453.
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Geometry and Topology