Supramenable groups and partial actions
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Supramenable groups and partial actions. / Paiva Scarparo, Eduardo.
I: Ergodic Theory and Dynamical Systems, Bind 37, Nr. 5, 2017, s. 1592-1606.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Supramenable groups and partial actions
AU - Paiva Scarparo, Eduardo
PY - 2017
Y1 - 2017
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 (Formula presented.)-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 (Formula presented.)-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
VL - 37
SP - 1592
EP - 1606
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 5
ER -
ID: 176341901