A Pile of Shifts II: Structure and 𝛫-Theory

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dc.contributor.authorHebert, Shelley
dc.contributor.authorKlimek, Slawomir
dc.contributor.authorMcBride, Matt
dc.contributor.authorPeoples, J. Wilson
dc.date.accessioned2026-02-16T16:33:57Z
dc.date.issued2025
dc.description.abstractWe discuss 𝐶*-algebras associated with several different natural shifts on the Hilbert space of the 𝑠-adic tree, continuing the analysis from [Banach J. Math. Anal. 19 (2025), 32, 30 pages, arXiv:2412.00854] and in particular, we describe their structure and compute the 𝛫-theory groups.
dc.description.sponsorshipThe authors wish to thank the referees for their very insightful comments and suggestions. It should be noted that one of the referees pointed out that some of our results can also be obtained using the theory of theToeplitz 𝐶*-algebra of a 𝐶*-correspondence as developed by [24]. While this gives a very intriguing alternative, possibly simpler technique of computing the 𝛫-theory, we decided not to follow this approach since the theory of 𝐶*-correspondence is separate from our unified approach based on coefficient algebras and crossed products by endomorphisms.
dc.identifier.citationA Pile of Shifts II: Structure and 𝛫-Theory. Shelley Hebert, Slawomir Klimek, Matt McBride and J. Wilson Peoples. SIGMA 21 (2025), 035, 22 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2025.035
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 47L65; 46L35; 46L80
dc.identifier.otherarXiv:2501.07756
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/213180
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleA Pile of Shifts II: Structure and 𝛫-Theory
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2025, том 21, випуск за цей рік