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Crossed Product Algebras for Piece-Wise Constant FunctionsPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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2016 (English)In: Engineering Mathematics II: Algebraic, Stochastic and Analysis Structures for Networks, Data Classification and Optimization / [ed] Sergei Silvestrov; Milica Rančić, Springer, 2016Chapter in book (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Springer, 2016.
##### Series

Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 ; 179
##### Keywords [en]

crossed product algebras; function algebra; commutant; piece-wise constant functions
##### National Category

Mathematics Algebra and Logic
##### Research subject

Mathematics/Applied Mathematics
##### Identifiers

URN: urn:nbn:se:mdh:diva-33242DOI: 10.1007/978-3-319-42105-6_6Scopus ID: 2-s2.0-85012918640ISBN: 978-3-319-42104-9 (print)ISBN: 978-3-319-42105-6 (print)OAI: oai:DiVA.org:mdh-33242DiVA, id: diva2:974175
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##### Funder

Sida - Swedish International Development Cooperation AgencyAvailable from: 2016-09-25 Created: 2016-09-25 Last updated: 2018-04-17Bibliographically approved
##### In thesis

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 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.

1. Dynamical Systems and Commutants in Non-Commutative Algebras$(function(){PrimeFaces.cw("OverlayPanel","overlay1197766",{id:"formSmash:j_idt720:0:j_idt724",widgetVar:"overlay1197766",target:"formSmash:j_idt720:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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