### Hodge decompositions of Loday Symbols in K-theory and cyclic homology, by Susan C. Geller and Charles A. Weibel

Abstract: We study the decompositions of K-theory and cyclic homology
induced by lambda operations, and in particular the decomposition of
the Loday symbols <<x,y,...,z>>. Except in special cases,
these Loday symbols do not have pure Hodge index. Our calculations
disprove conjectures of Beilinson and Soulé in K-theory, and of
Gerstenhaber and Schack in Hochschild homology.

This paper has appeared in K-theory 8 (1994), 587-632.

Susan C. Geller <geller@math.tamu.edu>

Charles A. Weibel <weibel@math.rutgers.edu>