The nilpotence theorem for the algebraic K-theory of the sphere spectrum

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2017-08-31

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https://hdl.handle.net/2022/32916

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∧ 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

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Faculty Open Access Articles