FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962994037> ?p ?o ?g. }

• W2962994037 endingPage "946" @default.
• W2962994037 startingPage "927" @default.
• W2962994037 abstract "We give a complete characterization of connected Lie groups with the Approximation Property for groups (AP). To this end, we introduce a strengthening of property (T), that we call property (T*), which is a natural obstruction to the AP. In order to define property (T*), we first prove that for every locally compact group G, there exists a unique left invariant mean on the space of completely bounded Fourier multipliers of G. A locally compact group G is said to have property (T*) if this mean is a weak* continuous functional. After proving that the groups SL(3,R), Sp(2,R), and the universal covering of Sp(2,R) have property (T*), we address the question which connected Lie groups have the AP. A technical problem that arises when considering this question from the point of view of the AP is that the semisimple part of the global Levi decomposition of a connected Lie group need not be closed. Because of an important permanence property of property (T*), this problem vanishes. It follows that a connected Lie group has the AP if and only if all simple factors in the semisimple part of its Levi decomposition have real rank 0 or 1. Finally, we are able to establish property (T*) for all connected simple higher rank Lie groups with finite center." @default.
• W2962994037 created "2019-07-30" @default.
• W2962994037 creator A5025323920 @default.
• W2962994037 creator A5028811597 @default.
• W2962994037 creator A5082630604 @default.
• W2962994037 date "2016-01-01" @default.
• W2962994037 modified "2023-09-26" @default.
• W2962994037 title "A complete characterization of connected Lie groups with the Approximation Property" @default.
• W2962994037 hasPublicationYear "2016" @default.
• W2962994037 type Work @default.
• W2962994037 sameAs 2962994037 @default.
• W2962994037 citedByCount "10" @default.
• W2962994037 countsByYear W29629940372013 @default.
• W2962994037 countsByYear W29629940372016 @default.
• W2962994037 countsByYear W29629940372017 @default.
• W2962994037 countsByYear W29629940372018 @default.
• W2962994037 countsByYear W29629940372020 @default.
• W2962994037 countsByYear W29629940372021 @default.
• W2962994037 crossrefType "journal-article" @default.
• W2962994037 hasAuthorship W2962994037A5025323920 @default.
• W2962994037 hasAuthorship W2962994037A5028811597 @default.
• W2962994037 hasAuthorship W2962994037A5082630604 @default.
• W2962994037 hasConcept C10138342 @default.
• W2962994037 hasConcept C111472728 @default.
• W2962994037 hasConcept C114614502 @default.
• W2962994037 hasConcept C132954091 @default.
• W2962994037 hasConcept C134306372 @default.
• W2962994037 hasConcept C138885662 @default.
• W2962994037 hasConcept C152306953 @default.
• W2962994037 hasConcept C162324750 @default.
• W2962994037 hasConcept C164226766 @default.
• W2962994037 hasConcept C167204820 @default.
• W2962994037 hasConcept C178790620 @default.
• W2962994037 hasConcept C182306322 @default.
• W2962994037 hasConcept C184720557 @default.
• W2962994037 hasConcept C185592680 @default.
• W2962994037 hasConcept C186489112 @default.
• W2962994037 hasConcept C187915474 @default.
• W2962994037 hasConcept C189950617 @default.
• W2962994037 hasConcept C202444582 @default.
• W2962994037 hasConcept C22365015 @default.
• W2962994037 hasConcept C2780586882 @default.
• W2962994037 hasConcept C2781311116 @default.
• W2962994037 hasConcept C33923547 @default.
• W2962994037 hasConcept C34388435 @default.
• W2962994037 hasConcept C96386209 @default.
• W2962994037 hasConceptScore W2962994037C10138342 @default.
• W2962994037 hasConceptScore W2962994037C111472728 @default.
• W2962994037 hasConceptScore W2962994037C114614502 @default.
• W2962994037 hasConceptScore W2962994037C132954091 @default.
• W2962994037 hasConceptScore W2962994037C134306372 @default.
• W2962994037 hasConceptScore W2962994037C138885662 @default.
• W2962994037 hasConceptScore W2962994037C152306953 @default.
• W2962994037 hasConceptScore W2962994037C162324750 @default.
• W2962994037 hasConceptScore W2962994037C164226766 @default.
• W2962994037 hasConceptScore W2962994037C167204820 @default.
• W2962994037 hasConceptScore W2962994037C178790620 @default.
• W2962994037 hasConceptScore W2962994037C182306322 @default.
• W2962994037 hasConceptScore W2962994037C184720557 @default.
• W2962994037 hasConceptScore W2962994037C185592680 @default.
• W2962994037 hasConceptScore W2962994037C186489112 @default.
• W2962994037 hasConceptScore W2962994037C187915474 @default.
• W2962994037 hasConceptScore W2962994037C189950617 @default.
• W2962994037 hasConceptScore W2962994037C202444582 @default.
• W2962994037 hasConceptScore W2962994037C22365015 @default.
• W2962994037 hasConceptScore W2962994037C2780586882 @default.
• W2962994037 hasConceptScore W2962994037C2781311116 @default.
• W2962994037 hasConceptScore W2962994037C33923547 @default.
• W2962994037 hasConceptScore W2962994037C34388435 @default.
• W2962994037 hasConceptScore W2962994037C96386209 @default.
• W2962994037 hasIssue "4" @default.
• W2962994037 hasLocation W29629940371 @default.
• W2962994037 hasOpenAccess W2962994037 @default.
• W2962994037 hasPrimaryLocation W29629940371 @default.
• W2962994037 hasRelatedWork W1836042012 @default.
• W2962994037 hasRelatedWork W1974885683 @default.
• W2962994037 hasRelatedWork W1978793553 @default.
• W2962994037 hasRelatedWork W1985333761 @default.
• W2962994037 hasRelatedWork W1995113166 @default.
• W2962994037 hasRelatedWork W2011081759 @default.
• W2962994037 hasRelatedWork W2018508748 @default.
• W2962994037 hasRelatedWork W2025059454 @default.
• W2962994037 hasRelatedWork W2027072951 @default.
• W2962994037 hasRelatedWork W2061373298 @default.
• W2962994037 hasRelatedWork W2074162329 @default.
• W2962994037 hasRelatedWork W2133157625 @default.
• W2962994037 hasRelatedWork W2240996007 @default.
• W2962994037 hasRelatedWork W2321543095 @default.
• W2962994037 hasRelatedWork W2328147349 @default.
• W2962994037 hasRelatedWork W2329645048 @default.
• W2962994037 hasRelatedWork W2793201621 @default.
• W2962994037 hasRelatedWork W3094072915 @default.
• W2962994037 hasRelatedWork W3098874841 @default.
• W2962994037 hasRelatedWork W3104945143 @default.
• W2962994037 hasVolume "49" @default.
• W2962994037 isParatext "false" @default.
• W2962994037 isRetracted "false" @default.
• W2962994037 magId "2962994037" @default.

• next