TY - JOUR
T1 - Coronae of product spaces and the coarse Baum-Connes conjecture
AU - Fukaya, Tomohiro
AU - Oguni, Shin ichi
N1 - Funding Information:
T. Fukaya and S. Oguni were supported by Grant-in-Aid for Scientific Researches for Young Scientists (B) ( 23740049 ), ( 24740045 ) respectively from Japan Society for the Promotion of Science .
Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2015/7/6
Y1 - 2015/7/6
N2 - 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.
AB - 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.
KW - CAT(0)-groups
KW - Coarse Baum-Connes conjecture
KW - Higson compactification
KW - Product groups
KW - Relatively hyperbolic groups
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U2 - 10.1016/j.aim.2015.01.022
DO - 10.1016/j.aim.2015.01.022
M3 - Article
AN - SCOPUS:84928106660
VL - 279
SP - 201
EP - 233
JO - Advances in Mathematics
JF - Advances in Mathematics
SN - 0001-8708
ER -