Cary Malkiewich
Published 2016-10-21Version 1
We give a new proof of a result of Lazarev, that the dual of the circle $S^1_+$ in the category of spectra is equivalent to a strictly square-zero extension as an associative ring spectrum. As an application, we calculate the topological cyclic homology of $DS^1$ and rule out a Koszul-dual reformulation of the Novikov conjecture.
Comments: 18 pages, 2 figures, 2 tables. Replaces the second half of the earlier preprint "On the topological Hochschild homology of $DX$."
On topological cyclic homology
Topological Cyclic Homology of Local Fields
An algebraic model for mod 2 topological cyclic homology
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