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arXiv · 1405.1619

An elementary Green imprimitivity theorem for inverse semigroups

Bernhard Burgstaller
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Abstract

A Morita equivalence similar to that found by Green for crossed products by groups will be established for crossed products by inverse semigroups. More precisely, let $G$ be an inverse semigroup, $H$ a finite sub-inverse semigroup of $G$ and $A$ a $G$-algebra or a $H$-algebra. Then the crossed product $A \rtimes H$ is Morita equivalent to a certain crossed product $B \rtimes G$.

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Bernhard Burgstaller. 2014-05-07. An elementary Green imprimitivity theorem for inverse semigroups. https://arxiv.org/abs/1405.1619

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