Article ID Journal Published Year Pages File Type
6415821 Journal of Pure and Applied Algebra 2016 21 Pages PDF
Abstract

We consider the Gorenstein condition for topological Hochschild homology, and show that it holds remarkably often [7]. More precisely, if R is a commutative ring spectrum and R⟶k is a map to a field of characteristic p then, provided k is small as an R-module, THH(R;k) is Gorenstein in the sense of [11]. In particular, this holds if R is a (conventional) regular local ring with residue field k of characteristic p.Using only Bökstedt's calculation of THH(k), this gives a non-calculational proof of dualities visible in calculations of Bökstedt [9], Ausoni [3], Lindenstrauss and Madsen [17], Angeltveit and Rognes [2] and others.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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