Supramenable groups and partial actions

TY - JOUR

T1 - Supramenable groups and partial actions

AU - Paiva Scarparo, Eduardo

PY - 2017/8/1

Y1 - 2017/8/1

N2 - We characterize supramenable groups in terms of the existence of invariant probability measures for partial actions on compact Hausdorff spaces and the existence of tracial states on partial crossed products. These characterizations show that, in general, one cannot decompose a partial crossed product of a -algebra by a semidirect product of groups into two iterated partial crossed products. However, we give conditions which ensure that such decomposition is possible.

AB - We characterize supramenable groups in terms of the existence of invariant probability measures for partial actions on compact Hausdorff spaces and the existence of tracial states on partial crossed products. These characterizations show that, in general, one cannot decompose a partial crossed product of a -algebra by a semidirect product of groups into two iterated partial crossed products. However, we give conditions which ensure that such decomposition is possible.

UR - http://www.scopus.com/inward/record.url?scp=84955622142&partnerID=8YFLogxK

U2 - 10.1017/etds.2015.117

DO - 10.1017/etds.2015.117

M3 - Journal article

AN - SCOPUS:84955622142

SN - 0143-3857

VL - 37

SP - 1592

EP - 1606

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 5

ER -