Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415821 | Journal of Pure and Applied Algebra | 2016 | 21 Pages |
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 Râ¶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
Authors
J.P.C. Greenlees,