The completion theorem in K-theory for proper actions of a discrete group

We prove a version of the Atiyah-Segal completion theorem for proper actions of an infinite discrete group G. More precisely, for any finite proper G-CW-complex X, KH(EG� X) is the completion of KH (X) with respect to a certain ideal. We also show, for such G and X, that K (X) can be defined as the Grothendieck group of the monoid of G-vector bundles over X

Proceedings of the 4th World Conference on Research Integrity

CITATION: O’Brien, S. P., et al. 2016. Proceedings of the 4th World Conference on Research Integrity. Research Integrity and Peer Review, 1:9, doi:10.1186/s41073-016-0012-9.The original publication is available at https://researchintegrityjournal.biomedcentral.comThese Proceedings contain the abstracts of the presentations given at the 4th World Conference in concurrent sessions, partner symposia, and poster sessions. Also included are summaries of the discussions in three focus tracks, which allowed delegates to consider and work on questions about the roles of funders, institutions, and countries in improving research systems and strengthening research integrity. Videos of the plenary presentations are available at the conference website (www.wcri2015.org).https://researchintegrityjournal.biomedcentral.com/articles/10.1186/s41073-016-0012-