Adams operations and the Dennis trace map

[摘要] We show that the Adams operations on the algebraic K-theory of a commutative unital Q-algebra correspond to Adams operations on Hochschild homology via the Dennis trace map. This establishes a conjecture of Geller and Weibel, Hodge decomposition of Loday symbols in K-theory and cyclic homology, K-theory 8 (1994) 587-632, that the Dennis trace map preserves the Hedge decomposition. (C) 1999 Elsevier Science B.V. All rights reserved.

[发布日期] 1999-12-01