The Birman-Schwinger principle in von Neumann algebras of finite type

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dc.creatorKostrykin, Vadim
dc.creatorMakarov, Konstantin A.
dc.creatorSkripka, Anna
dc.date2006-10-09
dc.date.accessioned2026-07-07T09:18:20Z
dc.date.available2026-07-07T09:18:20Z
dc.descriptionWe introduce a relative index for a pair of dissipative operators in a von Neumann algebra of finite type and prove an analog of the Birman-Schwinger principle in this setting. As an application of this result, revisiting the Birman-Krein formula in the abstract scattering theory, we represent the de la Harpe-Skandalis determinant of the characteristic function of dissipative operators in the algebra in terms of the relative index.
dc.identifierhttps://arxiv.org/abs/math/0610282
dc.identifierhttp://arxiv.org/abs/math/0610282
dc.identifierJ. Funct. Anal. 247 (2007), 492 - 508
dc.identifierdoi:10.1016/j.jfa.2006.12.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153989
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subject47A55; 47C15; 47A53
dc.titleThe Birman-Schwinger principle in von Neumann algebras of finite type
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