Journal of Operator Theory

Volume 39, Issue 2, Spring 1998 pp. 361-393.

$C^{*}$-Crossed products by twisted inverse semigroup actions

Authors: Nandor Sieben
Author institution: Department of Mathematics, Arizona State University, Tempe, AZ 85287--1804, USA

Summary: The notions of Busby-Smith and Green type twisted actions are extended to discrete unital inverse semigroups. The connection between the two types, and the connection with twisted partial actions, are investigated. Decomposition theorems for the twisted crossed products are given.

Keywords: Inverse semigroup, twisted action, partial action, crossed product

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