Using topological cyclic homology, we give a refinement of Beilinson'sp-adic Goodwillie
isomorphism between relative continuous K-theory and cyclic homology. As a result, we …

We construct for an equivariant homology theory for proper equivariant CW-complexes an
equivariant Chern character, provided that certain conditions are satis® ed. This applies for …

Topological Equivalence of Linear Representations for Cyclic Groups: I Page 1 Annals of
Mathematics, 161 (2005), 61-104 Topological equivalence of linear representations for cyclic …

We introduce the notion of covering homology of a commutative S-algebra with respect to
certain families of coverings of topological spaces. The construction of covering homology is …

For a fixed prime p, the Morava K-theories K (O)*, K (l)*, K (2)*, are a sequence of p-Iocal
periodic homology theories generalizing complex K-theory: K (O)* is ordinary rational …

Algebraic K-Theory plays an important role in many areas of modern mathematics: most
notably algebraic topology, number theory, and algebraic geometry, but even including …

We describe a construction of the cyclotomic structure on topological Hochschild homology
(THH) of a ring spectrum using the Hill-Hopkins-Ravenel multiplicative norm. Our analysis …

Let X be a complex space, Y an open subset of X. Let A (X)[M (Y)] be the space of
holomorphic functions on X [Y] with the topology of compact convergence.(X, Y) is called a …

Let G be a topological group. We construct an equivariant homology and equivariant
cohomology theory, defined on the category of all G-pairs and G-maps, which both satisfy all …

Recall that a ring _ (without unit) is said to possess th f in algebraic K-theory if for every ring
extension sV>-i-9> Y the K*-groups of, 9 and Y are related to each other by the natural long …