Let É, be the p-complete connective Adams summand of topological K-theory, with
coefficient ring (,),= Z,[v], and let V (1) be the Smith-Toda complex, with BP,(V (1))= BP,/(p, v) …

THEOREM 1: Let G be either a locally finite (discrete) or a compact connect Lie group. Let H
be either a finite (discrete) group, a compact Lie group or a group of the homotopy type of a …

The purpose of this paper is to study pro excision in algebraic K-theory and cyclic homology,
after Suslin–Wodzicki, Cuntz–Quillen, Cortiñas, and Geisser–Hesselholt, as well as …

We introduce a notion of crossed simplicial group, which generalizes Connes' notion of the
cyclic category. We show that this concept has several equivalent descriptions and give a …

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 …

Since their introduction 20 years ago, the evaluation of Quillen's higher algebraic K-groups
of rings [35] has remained a difficult problem in homotopy theory. One does have Quillen's …

Algebraic K-theory encodes important invariants for several mathematical disciplines,
spanning from geometric topology and functional analysis to number theory and algebraic …

In these realizations for K-homology, concrete cycles are described in topological or
analytical terms. Since both realizations lead to the same theory, a natural isomorphism …

In his paper on homotopy everything H-spaces [7]# G, Segal showed that there was a
relationship between a-spectra and certain types of'f'unctors f'rom the category of'f'inite …