Homology and K-theory of dynamical systems II. Smale spaces with totally disconnected transversal

dc.date.accessioned	2024-02-15T18:08:11Z
dc.date.available	2024-02-15T18:08:11Z
dc.date.created	2023-09-17T17:51:59Z
dc.date.issued	2023
dc.identifier.citation	Proietti, Valerio Yamashita, Makoto . Homology and K-theory of dynamical systems II. Smale spaces with totally disconnected transversal. Journal of Noncommutative Geometry. 2023, 17(3), 957-998
dc.identifier.uri	http://hdl.handle.net/10852/108111
dc.description.abstract	We apply our previous work on the relation between groupoid homology and K-theory to Smale spaces. More precisely, we consider the unstable equivalence relation of a Smale space with totally disconnected stable sets and prove that the associated spectral sequence shows Putnam's stable homology groups on the second sheet. Moreover, this homology is in fact isomorphic to the groupoid homology of the unstable equivalence relation.
dc.language	EN
dc.publisher	EMS Publishing House
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.title	Homology and K-theory of dynamical systems II. Smale spaces with totally disconnected transversal
dc.title.alternative	ENEngelskEnglishHomology and K-theory of dynamical systems II. Smale spaces with totally disconnected transversal
dc.type	Journal article
dc.creator.author	Proietti, Valerio
dc.creator.author	Yamashita, Makoto
cristin.unitcode	185,15,13,65
cristin.unitname	Flere komplekse variable, logikk og operatoralgebraer
cristin.ispublished	true
cristin.fulltext	postprint
cristin.qualitycode	2
dc.identifier.cristin	2175803
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal of Noncommutative Geometry&rft.volume=17&rft.spage=957&rft.date=2023
dc.identifier.jtitle	Journal of Noncommutative Geometry
dc.identifier.volume	17
dc.identifier.issue	3
dc.identifier.startpage	957
dc.identifier.endpage	998
dc.identifier.doi	https://doi.org/10.4171/JNCG/494
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	1661-6952
dc.type.version	PublishedVersion