References
Bass, H.,Algebraic K-theory, Benjamin, New York-Amsterdam, 1968.
Bökstedt, M., Topological Hochschild homology. Preprint, Bielefeld.
Bökstedt, M., Carlsson, G., Cohen, R., Goodwille, T., Hsiang, W.-C. &Madsen, I., On the algebraic K-theory of simply connected spaces.Duke Math. J., 84 (1996), 541–563.
Bökstedt, M., Hsiang, W.-C. &Madsen, I., The cyclotomic trace and algebraic K-theory of spaces.Invent. Math., 111 (1993), 865–940.
Bökstedt, M. & Madsen, I., Algebraic K-theory of local number fields: the unramified case. Preprint no. 20, Aarhus University, 1994.
Dundas, B., Relative K-theory and topological cyclic homology.Acta Math., 179 (1997), 223–242.
Dundas, B. &McCarthy, R., Stable K-theory and topological Hochschild homology.Ann. of Math., 140 (1994), 685–701.
—, Topological Hochschild homology of ring functors and exact categories.J. Pure Appl. Algebra, 109 (1996), 231–294.
Fiedorowicz, Z., Ogle, C. &Vogt, R. M., Volodin K-theory ofA ∞-ring spaces.Topology, 32 (1993), 329–352.
Goodwillie, T., Relative algebraic K-theory and cyclic homology.Ann. of Math., 124 (1986), 347–402.
—, Calculus I: the first derivative of pseudoisotopy theory.K-Theory, 4 (1990), 1–27.
—, The differential calculus of homotopy functors, inProceedings of the International Congress of Mathematicians (Kyoto 1990), pp. 621–630. Math. Soc. Japan, Tokyo, 1991.
Goodwillie, T., Notes on the cyclotomic trace. Notes from a lecture series given at MSRI during the spring of 1990.
—, Calculus II: analytic functors.K-Theory, 5 (1992), 295–332.
Hesselholt, L., Stable topological cyclic homology is topological Hochschild homology.Astérisque, 226 (1994), 178–192.
Hesselholt, L. &Madsen, I., On the K-theory of finite algebras ove Witt vectors of perfect fields.Topology, 36 (1997), 29–101.
Loday, J. L., Opérations sur l'homologie cyclique des algèbres commutatives.Invent. Math., 96 (1989), 205–230.
Madsen, I., Algebraic K-theory and traces, inCurrent Developments in Mathematics, pp. 191–321. International Press, Cambridge, MA, 1995.
Tsalidis, S., On the topological cyclic homology of the integers.Amer. J. Math., 119 (1997), 103–125.
Waldhausen, F., Algebraic K-theory of generalized free products.Ann. of Math., 108 (1978), 135–256.
—, Algebraic K-theory of spaces, inAlgebraic and Geometric Topology (Rutgers 1993), pp. 318–419. Lecture Notes in Math., 1126. Springer-Verlag, Berlin-New York, 1985.
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This work was partially supported by National Science Foundation Grant 1-5-30943.
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McCarthy, R. Relative algebraic K-theory and topological cyclic homology. Acta Math. 179, 197–222 (1997). https://doi.org/10.1007/BF02392743
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DOI: https://doi.org/10.1007/BF02392743