References
[Ba-T] Bass, H., Tate, J.: The Milnor ring of a global field. AlgebraicK-Theory II. Lect. Notes in Math., vol. 342, pp. 348–446. Berlin-Heidelberg-New York: Springer 1973
[Be] Beilinson, A.: Letter to C. Soulé, 11/1/82
[Bl1] Bloch, S.: Higher regulators, algebraicK-theory, and zeta-functions of elliptic curves. Lecture Notes, U.C. Irvine (1977)
[Bl2] Bloch, S.: Algebraic cycles and higherK-theory. Adv. Math.61, 267–304 (1986)
[Bl-O] Bloch, S., Ogus, A.: Gersten's conjecture and the homology of schemes. Ann. Sci. Ec. Norm. Super., IV. Ser.7, 181–202 (1974)
[D-W] Deninger, C., Wingberg, K.: Artin-Verdier duality forn-dimensional local fields involving higher algebraicK-sheaves. Preprint
[D-S] Dennis, R.K., Stein, M.R.:K 2 of radical ideals and semi-local rings revisited. AlgebraicK-Theory II. Lect. Notes in Math., vol. 342, pp. 281–303. Berlin-Heidelberg-New York: Springer 1973
[Ga] Gabber, O.:K-theory of Henselian local rings and Henselian pairs. Preprint
[Gr] Grayson, D.: Products inK-theory and intersecting algebraic cycles. Invent. Math.47, 71–84 (1978)
[Ka] Karoubi, M.: Homologie de groups discrets associésS des algebres d'opérateurs. Preprint
[Ke] Keune, F.: The relativization ofK 2. J. Algebra54, 159–177 (1978)
[L] Lichtenbaum, S.: Values of zeta-functions at non-negative integers. Number Theory, Noordwijkerhout 1983. Lect. Notes in Math. vol. 1068, pp. 127–138. Berlin-Heidelberg-New York: Springer 1984
[Lo] Loday, J.L.:K-théorie algébrique et représentations des groups. Ann. Sci. Ec. Norm. Super., IV. Ser.9, 309–377 (1976)
[M-S] Mercuriev, A.S., Suslin, A.A.:K-cohomology of Severi-Brauer varieties and the norm residue homomorphism. Mathematics of the USSR-Izvestiya (Translation)21, 307–340 (1983)
[Mi] Milnor, J.: Introduction to AlgebraicK-theory. Annals of Math. Studies No. 72. Princeton, N.J.: Princeton University Press 1971
[Q1] Quillen, D.: Higher algebraicK-theory I. AlgebraicK-theory I. Lect. Notes in Math., vol. 341, pp. 85–147. Berlin-Heidelberg-New York: Springer 1973
[Q2] Quillen, D.: On the cohomology andK-theory of the general linear groups over a finite field. Ann. Math.96, 552–586 (1972)
[So] Soulé, C.: Opérations enK-théorie algébrique. Gn. J. Math.37, 488–550 (1985)
[Sul] Suslin, A.A.: On theK-theory of algebraically closed fields. Invents. Math.73, 241–245 (1983)
[Su2] Suslin, A.A.: Torsion inK 2 of fields. Preprint, LOMI E-2-82
[Su3] Suslin, A.A.: Homology ofGL n , characteristic classes and MilnorK-theory. Lect. Notes Math., 1046, pp. 357–375, Berlin Heidelberg New York: Springer 1984
[T] Tate, J.T.: Relations betweenK 2 and Galoids cohomology. Invent. Math.36, 257–274 (1976)
[W] Waldhausen, F.: AlgebraicK-theory of generalized free products. Ann. Math.108, 135–256 (1978)
[We] Weibel, C.A.: A survey of products in Alg.K-Theory. AlgebraicK-Theory Evanston 1980. Lect. Notes in Math., vol. 854, pp. 494–517. Berlin-Heidelberg-New York: Springer 1981
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Lichtenbaum, S. The construction of weight-two arithmetic cohomology. Invent Math 88, 183–215 (1987). https://doi.org/10.1007/BF01405097
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DOI: https://doi.org/10.1007/BF01405097