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dc.date.accessioned | 2019-01-22T20:34:53Z | |
dc.date.available | 2019-01-22T20:34:53Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 0040-5779 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/147804 | |
dc.description.abstract | © 2018, Pleiades Publishing, Ltd. Let ϕ be a trace on the unital C*-algebra A and Mϕbe the ideal of the definition of the trace ϕ. We obtain a C*analogue of the quantum Hall effect: if P,Q ∈ A are idempotents and P − Q ∈ Mϕ, then ϕ((P − Q)2n+1) = ϕ(P − Q) ∈ R for all n ∈ N. Let the isometries U ∈ A and A = A*∈ A be such that I+A is invertible and U-A ∈ Mϕwith ϕ(U-A) ∈ R. Then I-A, I−U ∈ Mϕand ϕ(I−U) ∈ R. Let n ∈ N, dimH = 2n + 1, the symmetry operators U, V ∈ B(H), and W = U − V. Then the operator W is not a symmetry, and if V = V*, then the operator W is nonunitary. | |
dc.relation.ispartofseries | Theoretical and Mathematical Physics(Russian Federation) | |
dc.subject | C*-algebra | |
dc.subject | Hilbert space | |
dc.subject | idempotent | |
dc.subject | linear operator | |
dc.subject | projection | |
dc.subject | quantum Hall effect | |
dc.subject | symmetry | |
dc.subject | trace | |
dc.subject | trace-class operator | |
dc.subject | unitary operator | |
dc.title | Differences of Idempotents In C*-Algebras and the Quantum Hall Effect | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 1 | |
dc.relation.ispartofseries-volume | 195 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 557 | |
dc.source.id | SCOPUS00405779-2018-195-1-SID85046543571 |