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Title

C*-algebras on r-discrete Abelian Groupoids

Writers

Myrnouri H.

Pages

 Start Page 169 | End Page 174

Abstract

 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.

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