On stable \(K\)-theory and topological Hochschild homology
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.
scientific article; zbMATH DE number 86168