Coronae of product spaces and the coarse Baum-Connes conjecture

Tomohiro Fukaya, Shin ichi Oguni

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We study the coarse Baum-Connes conjecture for product spaces and product groups. We show that a product of CAT(0) groups, polycyclic groups and relatively hyperbolic groups which satisfy some assumptions on peripheral subgroups, satisfies the coarse Baum-Connes conjecture. For this purpose, we construct and analyze an appropriate compactification and its boundary, "corona", of a product of proper metric spaces.

Original languageEnglish
Pages (from-to)201-233
Number of pages33
JournalAdvances in Mathematics
Volume279
DOIs
Publication statusPublished - 2015 Jul 6

Keywords

  • CAT(0)-groups
  • Coarse Baum-Connes conjecture
  • Higson compactification
  • Product groups
  • Relatively hyperbolic groups

ASJC Scopus subject areas

  • Mathematics(all)

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