Isomorphism conjectures in algebraic $K$-theory
نویسندگان
چکیده
منابع مشابه
“Spaces over a Category and Assembly Maps in Isomorphism Conjectures in K-and L-Theory” by
We give a unified approach to the Isomorphism Conjecture of Farrell and Jones on the algebraic Kand L-theory of integral group rings and to the Baum-Connes Conjecture on the topological K-theory of reduced group C∗-algebras. The approach is through spectra over the orbit category of a discrete group G. We give several points of view on the assembly map for a family of subgroups and describe suc...
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1. Classical motivation 2 1.1. Some classical identities 2 1.2. Riemann’s zeta function 2 1.3. Dedekind zeta functions 3 1.4. Higher regulators 4 2. Motivic L-functions 4 2.1. Realizations of motives 4 2.2. L-functions 6 3. Beilinson’s conjectures on special values of L-functions 7 3.1. Elementary reduction 7 3.2. The regulator map 8 3.3. The conjectures 8 3.4. Known cases 9 4. Motivic cohomolo...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1993
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-1993-1179537-0