Trace class operators, regulators, and assembly maps in K-theory

dc.creatorCortiñas, Guillermo Horacio
dc.creatorTartaglia, Gisela
dc.date.accessioned2017-06-23T17:57:56Z
dc.date.accessioned2018-11-06T15:29:24Z
dc.date.available2017-06-23T17:57:56Z
dc.date.available2018-11-06T15:29:24Z
dc.date.created2017-06-23T17:57:56Z
dc.date.issued2014
dc.identifierCortiñas, Guillermo Horacio; Tartaglia, Gisela; Trace class operators, regulators, and assembly maps in K-theory; Univ Bielefeld; Documenta Mathematica; 19; -1-2014; 439-455
dc.identifierhttp://hdl.handle.net/11336/18747
dc.identifier1431-0643
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1897736
dc.description.abstractLet G be a group and let KH be homotopy algebraic K-theory. We prove that if G satisfies the rational KH isomorphism conjecture for the group algebra L 1 [G] with coefficients in the algebra of trace-class operators in Hilbert space, then it also satisfies the Ktheoretic Novikov conjecture for the group algebra over the integers, and the rational injectivity part of the Farrell-Jones conjecture with coefficients in any number field.
dc.languageeng
dc.publisherUniv Bielefeld
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.mathematik.uni-bielefeld.de/documenta/vol-19/14.pdf
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1305.1771
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBorel regulator
dc.subjectHomotopy algebraic K-theory
dc.subjectMultiplicative K-theory
dc.subjectTrace class operators
dc.titleTrace class operators, regulators, and assembly maps in K-theory
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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