FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2890693951> ?p ?o ?g. }

• W2890693951 abstract "We consider a new class of potentially exotic group C*-algebras $C^*_{PF_p^*}(G)$ for a locally compact group $G$, and its connection with the class of potentially exotic group C*-algebras $C^*_{L^p}(G)$ introduced by Brown and Guentner. Surprisingly, these two classes of C*-algebras are intimately related. By exploiting this connection, we show $C^*_{L^p}(G)=C^*_{PF_p^*}(G)$ for $pin (2,infty)$, and the C*-algebras $C^*_{L^p}(G)$ are pairwise distinct for $pin (2,infty)$ when $G$ belongs to a large class of nonamenable groups possessing the Haagerup property and either the rapid decay property or Kunze-Stein phenomenon by characterizing the positive definite functions that extend to positive linear functionals of $C^*_{L^p}(G)$ and $C^*_{PF_p^*}(G)$. This greatly generalizes earlier results of Okayasu and the second author on the pairwise distinctness of $C^*_{L^p}(G)$ for $2<p<infty$ when $G$ is either a noncommutative free group or the group $SL(2,mathbb R)$, respectively. As a byproduct of our techniques, we present two applications to the theory of unitary representations of a locally compact group $G$. Firstly, we give a short proof of the well-known Cowling-Haagerup-Howe Theorem which presents sufficient condition implying the weak containment of a cyclic unitary representation of $G$ in the left regular representation of $G$. Also we give a near solution to a 1978 conjecture of Cowling. This conjecture of Cowling states if $G$ is a Kunze-Stein group and $pi$ is a unitary representation of $G$ with cyclic vector $xi$ such that the map $$Gni smapsto langle pi(s)xi,xirangle$$ belongs to $L^p(G)$ for some $2 0$ (recall $A_pisubseteq B_pi$)." @default.
• W2890693951 created "2018-09-27" @default.
• W2890693951 creator A5035140196 @default.
• W2890693951 creator A5048523728 @default.
• W2890693951 date "2018-09-19" @default.
• W2890693951 modified "2023-09-27" @default.
• W2890693951 title "Exotic C*-algebras of geometric groups" @default.
• W2890693951 cites W1570582096 @default.
• W2890693951 cites W1572772830 @default.
• W2890693951 cites W1599540246 @default.
• W2890693951 cites W1933854131 @default.
• W2890693951 cites W1967846354 @default.
• W2890693951 cites W1968878394 @default.
• W2890693951 cites W1981115965 @default.
• W2890693951 cites W2050088735 @default.
• W2890693951 cites W2094488278 @default.
• W2890693951 cites W2159248969 @default.
• W2890693951 cites W2191713437 @default.
• W2890693951 cites W2320967731 @default.
• W2890693951 cites W2323449974 @default.
• W2890693951 cites W2463674881 @default.
• W2890693951 cites W2635282249 @default.
• W2890693951 cites W2745214789 @default.
• W2890693951 cites W2759401857 @default.
• W2890693951 cites W2948324310 @default.
• W2890693951 cites W2962752851 @default.
• W2890693951 cites W2963343135 @default.
• W2890693951 cites W2963633850 @default.
• W2890693951 cites W2963672515 @default.
• W2890693951 cites W2964156947 @default.
• W2890693951 cites W2964186817 @default.
• W2890693951 cites W2964325954 @default.
• W2890693951 cites W3037826161 @default.
• W2890693951 cites W328800714 @default.
• W2890693951 cites W560409768 @default.
• W2890693951 cites W593051019 @default.
• W2890693951 cites W191108678 @default.
• W2890693951 cites W2049894376 @default.
• W2890693951 cites W2963237312 @default.
• W2890693951 hasPublicationYear "2018" @default.
• W2890693951 type Work @default.
• W2890693951 sameAs 2890693951 @default.
• W2890693951 citedByCount "2" @default.
• W2890693951 countsByYear W28906939512020 @default.
• W2890693951 crossrefType "posted-content" @default.
• W2890693951 hasAuthorship W2890693951A5035140196 @default.
• W2890693951 hasAuthorship W2890693951A5048523728 @default.
• W2890693951 hasConcept C114614502 @default.
• W2890693951 hasConcept C121332964 @default.
• W2890693951 hasConcept C13355873 @default.
• W2890693951 hasConcept C154945302 @default.
• W2890693951 hasConcept C17744445 @default.
• W2890693951 hasConcept C199539241 @default.
• W2890693951 hasConcept C202444582 @default.
• W2890693951 hasConcept C2524010 @default.
• W2890693951 hasConcept C2777212361 @default.
• W2890693951 hasConcept C2780990831 @default.
• W2890693951 hasConcept C2781311116 @default.
• W2890693951 hasConcept C31498916 @default.
• W2890693951 hasConcept C33923547 @default.
• W2890693951 hasConcept C41008148 @default.
• W2890693951 hasConcept C58450382 @default.
• W2890693951 hasConcept C62520636 @default.
• W2890693951 hasConcept C67820243 @default.
• W2890693951 hasConcept C68797384 @default.
• W2890693951 hasConceptScore W2890693951C114614502 @default.
• W2890693951 hasConceptScore W2890693951C121332964 @default.
• W2890693951 hasConceptScore W2890693951C13355873 @default.
• W2890693951 hasConceptScore W2890693951C154945302 @default.
• W2890693951 hasConceptScore W2890693951C17744445 @default.
• W2890693951 hasConceptScore W2890693951C199539241 @default.
• W2890693951 hasConceptScore W2890693951C202444582 @default.
• W2890693951 hasConceptScore W2890693951C2524010 @default.
• W2890693951 hasConceptScore W2890693951C2777212361 @default.
• W2890693951 hasConceptScore W2890693951C2780990831 @default.
• W2890693951 hasConceptScore W2890693951C2781311116 @default.
• W2890693951 hasConceptScore W2890693951C31498916 @default.
• W2890693951 hasConceptScore W2890693951C33923547 @default.
• W2890693951 hasConceptScore W2890693951C41008148 @default.
• W2890693951 hasConceptScore W2890693951C58450382 @default.
• W2890693951 hasConceptScore W2890693951C62520636 @default.
• W2890693951 hasConceptScore W2890693951C67820243 @default.
• W2890693951 hasConceptScore W2890693951C68797384 @default.
• W2890693951 hasLocation W28906939511 @default.
• W2890693951 hasOpenAccess W2890693951 @default.
• W2890693951 hasPrimaryLocation W28906939511 @default.
• W2890693951 hasRelatedWork W1507929114 @default.
• W2890693951 hasRelatedWork W1534193222 @default.
• W2890693951 hasRelatedWork W16334433 @default.
• W2890693951 hasRelatedWork W1992751011 @default.
• W2890693951 hasRelatedWork W2161423567 @default.
• W2890693951 hasRelatedWork W2168578232 @default.
• W2890693951 hasRelatedWork W2578844954 @default.
• W2890693951 hasRelatedWork W2601731745 @default.
• W2890693951 hasRelatedWork W2914048043 @default.
• W2890693951 hasRelatedWork W2949760916 @default.
• W2890693951 hasRelatedWork W2973343154 @default.
• W2890693951 hasRelatedWork W3017199180 @default.
• W2890693951 hasRelatedWork W3089191190 @default.
• W2890693951 hasRelatedWork W3103250208 @default.

• next