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Erschienen in:
2016 | OriginalPaper | Buchkapitel
Crossed Product Algebras for Piece-Wise Constant Functions
verfasst von : Johan Richter, Sergei Silvestrov, Vincent Ssembatya, Alex Behakanira Tumwesigye
Erschienen in: Engineering Mathematics II
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Abstract
In this paper we consider algebras of functions that are constant on the sets of a partition. We describe the crossed product algebras of the mentioned algebras with \(\mathbb {Z}.\) We show that the function algebra is isomorphic to the algebra of all functions on some set. We also describe the commutant of the function algebra and finish by giving an example of piece-wise constant functions on a real line.