Mostrar el registro sencillo del ítem
dc.contributor.author
Andruchow, Esteban

dc.contributor.author
Varela, Alejandro

dc.date.available
2020-06-08T20:44:14Z
dc.date.issued
2005-12
dc.identifier.citation
Andruchow, Esteban; Varela, Alejandro; States with equivalent supports; Theta Foundation; Journal Of Operator Theory; 53; 1; 12-2005; 35-48
dc.identifier.issn
0379-4024
dc.identifier.uri
http://hdl.handle.net/11336/106949
dc.description.abstract
Let B be a von Neumann algebra and X a C* Hilbert B-module. If p ∈ B is a projection, denote by S_p(X) ={x ∈ X(x,x) =p}, the p-sphere of X. For φ a state of B with support p ∈ B and x ∈ S_p(X), consider the state φ_x of L_B(X) given by φ_x(t)=φ((x,t(x))). In this paper we study certain sets associated to these states, and examine their topologic properties. As an application of these techniques, we prove that the space of states of the hyperfinite II_1 factor R_0, with support equivalent to a given projection p ∈ R_0, regarded with the norm topology (of the conjugate space of R_0), has trivial homotopy groups of all orders.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Theta Foundation

dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
STATE SPACE
dc.subject
C*-MODULE
dc.subject.classification
Matemática Pura

dc.subject.classification
Matemáticas

dc.subject.classification
CIENCIAS NATURALES Y EXACTAS

dc.title
States with equivalent supports
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-04-28T16:14:29Z
dc.journal.volume
53
dc.journal.number
1
dc.journal.pagination
35-48
dc.journal.pais
Rumania

dc.journal.ciudad
Bucarest
dc.description.fil
Fil: Andruchow, Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
dc.description.fil
Fil: Varela, Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
dc.journal.title
Journal Of Operator Theory

dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.theta.ro/jot/archive/2005-053-001/2005-053-001-002.html
Archivos asociados