FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963274838> ?p ?o ?g. }

• W2963274838 endingPage "376" @default.
• W2963274838 startingPage "309" @default.
• W2963274838 abstract "Induced representations of *-algebras by unbounded operators in Hilbert space are investigated. Conditional expectations of a *-algebra ${{mathcal{A}}}$ onto a unital *-subalgebra ${{mathcal{B}}}$ are introduced and used to define inner products on the corresponding induced modules. The main part of the paper is concerned with group graded *-algebras ${{mathcal{A}}}=oplus_{gin G}{{mathcal{A}}}_g$ for which the *-subalgebra ${{mathcal{B}}}:={{mathcal{A}}}_e$ is commutative. Then the canonical projection $p:{{mathcal{A}}}to{{mathcal{B}}}$ is a conditional expectation and there is a partial action of the group G on the set ${{mathcal{B}}}p$ of all characters of ${{mathcal{B}}}$ which are nonnegative on the cone $sum{{mathcal{A}}}^2{{mathcal{A}}}p{{mathcal{B}}}.$ The complete Mackey theory is developed for *-representations of ${{mathcal{A}}}$ which are induced from characters of ${{widehat{{{mathcal{B}}}}^+}}.$ Systems of imprimitivity are defined and two versions of the Imprimitivity Theorem are proved in this context. A concept of well-behaved *-representations of such *-algebras ${{mathcal{A}}}$ is introduced and studied. It is shown that well-behaved representations are direct sums of cyclic well-behaved representations and that induced representations of well-behaved representations are again well-behaved. The theory applies to a large variety of examples. For important examples such as the Weyl algebra, enveloping algebras of the Lie algebras su(2), su(1,1), and of the Virasoro algebra, and *-algebras generated by dynamical systems our theory is carried out in great detail." @default.
• W2963274838 created "2019-07-30" @default.
• W2963274838 creator A5012613782 @default.
• W2963274838 creator A5043414475 @default.
• W2963274838 date "2011-08-24" @default.
• W2963274838 modified "2023-09-25" @default.
• W2963274838 title "Unbounded Induced Representations of ∗-Algebras" @default.
• W2963274838 cites W1515431404 @default.
• W2963274838 cites W1518164678 @default.
• W2963274838 cites W1554863607 @default.
• W2963274838 cites W1568393038 @default.
• W2963274838 cites W1577431998 @default.
• W2963274838 cites W1585268771 @default.
• W2963274838 cites W1965498447 @default.
• W2963274838 cites W1978199434 @default.
• W2963274838 cites W1981840613 @default.
• W2963274838 cites W2006190786 @default.
• W2963274838 cites W2046283839 @default.
• W2963274838 cites W2046787108 @default.
• W2963274838 cites W2050910919 @default.
• W2963274838 cites W2063237750 @default.
• W2963274838 cites W2071505792 @default.
• W2963274838 cites W2076673354 @default.
• W2963274838 cites W2078298477 @default.
• W2963274838 cites W2078309308 @default.
• W2963274838 cites W2081430546 @default.
• W2963274838 cites W2083051385 @default.
• W2963274838 cites W2085923697 @default.
• W2963274838 cites W2103507737 @default.
• W2963274838 cites W2111421065 @default.
• W2963274838 cites W2331194371 @default.
• W2963274838 cites W2593873342 @default.
• W2963274838 cites W3098556052 @default.
• W2963274838 cites W375556876 @default.
• W2963274838 cites W4206562876 @default.
• W2963274838 cites W4213161038 @default.
• W2963274838 cites W4236490276 @default.
• W2963274838 cites W4247934115 @default.
• W2963274838 cites W4299150230 @default.
• W2963274838 doi "https://doi.org/10.1007/s10468-011-9310-6" @default.
• W2963274838 hasPublicationYear "2011" @default.
• W2963274838 type Work @default.
• W2963274838 sameAs 2963274838 @default.
• W2963274838 citedByCount "9" @default.
• W2963274838 countsByYear W29632748382012 @default.
• W2963274838 countsByYear W29632748382013 @default.
• W2963274838 countsByYear W29632748382014 @default.
• W2963274838 countsByYear W29632748382015 @default.
• W2963274838 countsByYear W29632748382022 @default.
• W2963274838 countsByYear W29632748382023 @default.
• W2963274838 crossrefType "journal-article" @default.
• W2963274838 hasAuthorship W2963274838A5012613782 @default.
• W2963274838 hasAuthorship W2963274838A5043414475 @default.
• W2963274838 hasBestOaLocation W29632748382 @default.
• W2963274838 hasConcept C105795698 @default.
• W2963274838 hasConcept C11413529 @default.
• W2963274838 hasConcept C114614502 @default.
• W2963274838 hasConcept C118615104 @default.
• W2963274838 hasConcept C121332964 @default.
• W2963274838 hasConcept C136119220 @default.
• W2963274838 hasConcept C136197465 @default.
• W2963274838 hasConcept C151730666 @default.
• W2963274838 hasConcept C183778304 @default.
• W2963274838 hasConcept C202444582 @default.
• W2963274838 hasConcept C2779343474 @default.
• W2963274838 hasConcept C2781311116 @default.
• W2963274838 hasConcept C33923547 @default.
• W2963274838 hasConcept C57493831 @default.
• W2963274838 hasConcept C62520636 @default.
• W2963274838 hasConcept C62799726 @default.
• W2963274838 hasConcept C67996461 @default.
• W2963274838 hasConcept C86803240 @default.
• W2963274838 hasConceptScore W2963274838C105795698 @default.
• W2963274838 hasConceptScore W2963274838C11413529 @default.
• W2963274838 hasConceptScore W2963274838C114614502 @default.
• W2963274838 hasConceptScore W2963274838C118615104 @default.
• W2963274838 hasConceptScore W2963274838C121332964 @default.
• W2963274838 hasConceptScore W2963274838C136119220 @default.
• W2963274838 hasConceptScore W2963274838C136197465 @default.
• W2963274838 hasConceptScore W2963274838C151730666 @default.
• W2963274838 hasConceptScore W2963274838C183778304 @default.
• W2963274838 hasConceptScore W2963274838C202444582 @default.
• W2963274838 hasConceptScore W2963274838C2779343474 @default.
• W2963274838 hasConceptScore W2963274838C2781311116 @default.
• W2963274838 hasConceptScore W2963274838C33923547 @default.
• W2963274838 hasConceptScore W2963274838C57493831 @default.
• W2963274838 hasConceptScore W2963274838C62520636 @default.
• W2963274838 hasConceptScore W2963274838C62799726 @default.
• W2963274838 hasConceptScore W2963274838C67996461 @default.
• W2963274838 hasConceptScore W2963274838C86803240 @default.
• W2963274838 hasIssue "2" @default.
• W2963274838 hasLocation W29632748381 @default.
• W2963274838 hasLocation W29632748382 @default.
• W2963274838 hasLocation W29632748383 @default.
• W2963274838 hasOpenAccess W2963274838 @default.
• W2963274838 hasPrimaryLocation W29632748381 @default.
• W2963274838 hasRelatedWork W1606423697 @default.
• W2963274838 hasRelatedWork W1843416330 @default.

• next