Operads and gamma homology of commutative rings (0)

by A Robinson, S Whitehouse
Venue:Math. Proc. Cambridge Philos. Soc. 132 (2002), 197–234. Fachbereich Mathematik der Universität Hamburg, Bundesstrasse 55, 20146
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THE COLLAPSE OF THE PERIODICITY SEQUENCE IN THE STABLE RANGE

by Birgit Richter , 2006
"... Abstract. The stabilization of Hochschild homology of commutative algebras is Gamma homology. We describe a cyclic variant of Gamma homology and prove that the associated analogue of Connes ’ periodicity sequence becomes almost trivial, because the cyclic version coincides with the ordinary version ..."
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Abstract. The stabilization of Hochschild homology of commutative algebras is Gamma homology. We describe a cyclic variant of Gamma homology and prove that the associated analogue of Connes ’ periodicity sequence becomes almost trivial, because the cyclic version coincides with the ordinary version from homological degree two on. We offer an alternative explanation for this by proving that the B-operator followed by the stabilization map is trivial from degree one on. 1.