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

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 $K _∗ ( Z )$.


Publication Date:
Aug 31 2017
Date Submitted:
Nov 21 2018
ISSN:
1364-0380
Citation:
Geometry and Topology
6




 Record created 2018-11-21, last modified 2019-04-03

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