TY - JOUR
ID - 60753
TI - C*-algebras on r-discrete Abelian Groupoids
JO - Journal of Sciences, Islamic Republic of Iran
JA - JSCIENCES
LA - en
SN - 1016-1104
AU - Myrnouri, H.
AD - Department of Mathematics, Faculty of Mathematical Sciences, Lahijan Branch of Islamic Azad University, Guilan, Islamic Republic of Iran
Y1 - 2017
PY - 2017
VL - 28
IS - 2
SP - 169
EP - 174
KW - Decomposable groupoid
KW - Abelian groupoid
KW - Dual groupoid
KW - Eigen-functional
DO -
N2 - We study certain function algebras and their operator algebra completions on r-discrete abelian groupoids, the corresponding conditional expectations, maximal abelian subalgebras (masa) and eigen-functionals. We give a semidirect product decomposition for an abelian groupoid. This is done through a matched pair and leads to a C*-diagonal (for a special case). We use this decomposition to study the norm-one eigenvectors of corresponding full C*-algebra instead of the multiplicative functionals (spectrum) which have norm-one in the abelian group case.
UR - https://jsciences.ut.ac.ir/article_60753.html
L1 - https://jsciences.ut.ac.ir/article_60753_501ae04fc0e5201548f00cf39abfe65e.pdf
ER -