• Corpus ID: 244117375

Real topological Hochschild homology via the norm and Real Witt vectors

@inproceedings{AngeliniKnoll2021RealTH,
  title={Real topological Hochschild homology via the norm and Real Witt vectors},
  author={Gabe Angelini-Knoll and Teena Gerhardt and Michael A. Hill},
  year={2021}
}
We prove that Real topological Hochschild homology can be characterized as the norm from the cyclic group of order 2 to the orthogonal group O(2). From this perspective, we then prove a multiplicative double coset formula for the restriction of this norm to dihedral groups of order 2m. This informs our new definition of Real Hochschild homology of rings with anti-involution, which we show is the algebraic analogue of Real topological Hochschild homology. Using extra structure on Real Hochschild… 
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