Algebra/Topology Seminar

Speaker: Birgit Richter,

Title: THR and involutive Hochschild homology as equivariant Loday constructions

Abstract:  In joint work with Lindenstrauss and Zou we identified real topological Hochschild homology of a nice genuine commutative C_2 ring spectrum A with the C_2-Loday construction for the one-point compactification of the sign representation. The same C_2-Loday construction applied to the fixed Tambara functor associated to a commutative ring R with involution can be identified with a Tambara functor of a two-sided bar construction and this in turn relates in good cases to the involutive Hochschild homology (and the reflexive homology) of R. This is joint work with Ayelet Lindenstrauss.