Affiliation:
1. Mathematics Institute University of Warwick, Zeeman Building Coventry UK
2. Department of Mathematics University of Aberdeen, Fraser Noble Building Aberdeen UK
Abstract
AbstractWe give a formula for the geometric fixed‐points spectrum of the real topological cyclic homology of a bounded below ring spectrum, as an equaliser of two maps between tensor products of modules over the norm. We then use this formula to carry out computations in the fundamental examples of spherical group rings, perfect ‐algebras and 2‐torsion‐free rings with perfect modulo 2 reduction. Our calculations agree with the normal L‐theory spectrum in the cases where the latter is known, as conjectured by Nikolaus.
Funder
Deutsche Forschungsgemeinschaft
Hausdorff Center for Mathematics
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