On stable \(K\)-theory and topological Hochschild homology
type: Item
instance of: scholarly article
title: On stable \(K\)-theory and topological Hochschild homology
zbMATH Open document ID: 0757.19004
DOI: 10.1007/BF02566510
author: Stanislaw Betley
published in: Commentarii Mathematici Helvetici
publication date: 1993-01-11T00:00:00Z
full work available at URL: https://eudml.org/doc/140277
review text: Let \(R\) be a commutative ring. For suitable functors \(T\) from finitely generated \(R\)-modules to \(R\)-modules one can define the stable \(K\)-theory \(K^ S(R,T)\) and the topological Hochschild homology \(\text{THH}(R,T)\). In particular, if \(T\) is tensor product with \(A\) for some \(R\)-bimodule \(A\), then one gets stable \(K\)-theory and topological Hochschild homology with coefficients in \(A\), and these are equal. The author generalizes this result: he shows that, if \(T\) is a functor of finite degree, then \(K^ S(R,T)\) and \(\text{THH}(R,T)\) are equal away from primes less than or equal to this degree.
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 16E20
Mathematics Subject Classification ID: 16E40
zbMATH DE Number: 86168
zbMATH Keywords: stable \(K\)-theory
zbMATH Keywords: topological Hochschild homology
reviewed by: Richard John Steiner
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 86168