Splitting certain m spin-module spectra

Topological Centers of Certain Banach Module Actions

Splitting of certain spaces CX

There are a number of theorems to the effect that spaces of the form Q. n 11 n X split stably into wedges of simpler spaces when X is connected (by which we mean pathwise connected). The proofs generally proceed by exploitation of combinatorially manageable approximations for Q. n *L n X. The earliest theorem of this kind is due to Milnor(18), who exploited the semi-simplicial version of the Ja...

Erratum: Topological Centres of Certain Banach Module Actions

Topological Centers and Factorization of Certain Module Actions

Let $A$ be a Banach algebra and $X$ be a Banach $A$-bimodule with the left and right module actions $pi_ell: Atimes Xrightarrow X$ and $pi_r: Xtimes Arightarrow X$, respectively. In this paper, we  study  the topological centers of the left module action $pi_{ell_n}: Atimes X^{(n)}rightarrow X^{(n)}$ and the right module action $pi_{r_n}:X^{(n)}times Arightarrow X^{(n)}$,  which inherit from th...

Homotopical Localizations of Module Spectra

We prove that stable f -localizations (where f is any map of spectra) preserve ring spectrum structures and module spectrum structures, under suitable hypotheses, and we use this fact to describe all possible localizations of the integral Eilenberg–MacLane spectrum HZ. As a consequence of this study, we infer that localizations of stable GEMs are stable GEMs, and it also follows that there is a...