Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962681995> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2962681995 endingPage "1187" @default.
- W2962681995 startingPage "1173" @default.
- W2962681995 abstract "Abstract For a compact metric space ( K , d ), Lip K denotes the Banach algebra of all complex-valued Lipschitz functions on ( K , d ). We show that the continuous Hochschild cohomology H n (Lip K , (Lip K )*) and H n (Lip K , ℂ e ) are both infinite-dimensional vector spaces for each n ≥ 1 if the space K contains a certain infinite sequence which converges to a point e ∈ K . Here (Lip K )* is the dual module of Lip K and ℂ e denotes the complex numbers with a Lip K -bimodule structure defined by evaluations of Lip K -functions at e . Examples of such metric spaces include all compact Riemannian manifolds, compact geodesic metric spaces and infinite compact subsets of ℝ. In particular, the (small) global homological dimension of Lip K is infinite for every such space. Our proof uses the description of point derivations by Sherbert [‘The structure of ideals and point derivations in Banach algebras of Lipschitz functions’, Trans. Amer. Math. Soc. 111 (1964), 240–272] and directly constructs non-trivial cocycles with the help of alternating cocycles of Johnson [‘Higher-dimensional weak amenability’, Studia Math. 123 (1997), 117–134]. An alternating construction of cocycles on the basis of the idea of Kleshchev [‘Homological dimension of Banach algebras of smooth functions is equal to infinity’, Vest. Math. Mosk. Univ. Ser. 1. Mat. Mech. 6 (1988), 57–60] is also discussed." @default.
- W2962681995 created "2019-07-30" @default.
- W2962681995 creator A5003269587 @default.
- W2962681995 date "2019-07-18" @default.
- W2962681995 modified "2023-10-18" @default.
- W2962681995 title "Point derivations and cohomologies of Lipschitz algebras" @default.
- W2962681995 cites W1166132636 @default.
- W2962681995 cites W137696708 @default.
- W2962681995 cites W148354719 @default.
- W2962681995 cites W1524202413 @default.
- W2962681995 cites W1980476394 @default.
- W2962681995 cites W2003939245 @default.
- W2962681995 cites W2019682662 @default.
- W2962681995 cites W2049152315 @default.
- W2962681995 cites W2077978120 @default.
- W2962681995 cites W2086924628 @default.
- W2962681995 cites W2592646876 @default.
- W2962681995 cites W4238170064 @default.
- W2962681995 cites W4246643027 @default.
- W2962681995 cites W78019870 @default.
- W2962681995 cites W751238222 @default.
- W2962681995 doi "https://doi.org/10.1017/s0013091519000142" @default.
- W2962681995 hasPublicationYear "2019" @default.
- W2962681995 type Work @default.
- W2962681995 sameAs 2962681995 @default.
- W2962681995 citedByCount "1" @default.
- W2962681995 countsByYear W29626819952019 @default.
- W2962681995 crossrefType "journal-article" @default.
- W2962681995 hasAuthorship W2962681995A5003269587 @default.
- W2962681995 hasConcept C132954091 @default.
- W2962681995 hasConcept C134306372 @default.
- W2962681995 hasConcept C136119220 @default.
- W2962681995 hasConcept C138885662 @default.
- W2962681995 hasConcept C165818556 @default.
- W2962681995 hasConcept C202444582 @default.
- W2962681995 hasConcept C22324862 @default.
- W2962681995 hasConcept C2778572836 @default.
- W2962681995 hasConcept C33676613 @default.
- W2962681995 hasConcept C33923547 @default.
- W2962681995 hasConcept C41895202 @default.
- W2962681995 hasConceptScore W2962681995C132954091 @default.
- W2962681995 hasConceptScore W2962681995C134306372 @default.
- W2962681995 hasConceptScore W2962681995C136119220 @default.
- W2962681995 hasConceptScore W2962681995C138885662 @default.
- W2962681995 hasConceptScore W2962681995C165818556 @default.
- W2962681995 hasConceptScore W2962681995C202444582 @default.
- W2962681995 hasConceptScore W2962681995C22324862 @default.
- W2962681995 hasConceptScore W2962681995C2778572836 @default.
- W2962681995 hasConceptScore W2962681995C33676613 @default.
- W2962681995 hasConceptScore W2962681995C33923547 @default.
- W2962681995 hasConceptScore W2962681995C41895202 @default.
- W2962681995 hasIssue "4" @default.
- W2962681995 hasLocation W29626819951 @default.
- W2962681995 hasOpenAccess W2962681995 @default.
- W2962681995 hasPrimaryLocation W29626819951 @default.
- W2962681995 hasRelatedWork W1135268740 @default.
- W2962681995 hasRelatedWork W2036827279 @default.
- W2962681995 hasRelatedWork W2047056613 @default.
- W2962681995 hasRelatedWork W2063696182 @default.
- W2962681995 hasRelatedWork W2149728925 @default.
- W2962681995 hasRelatedWork W2596257207 @default.
- W2962681995 hasRelatedWork W2996293994 @default.
- W2962681995 hasRelatedWork W4205719530 @default.
- W2962681995 hasRelatedWork W4248060259 @default.
- W2962681995 hasRelatedWork W977684400 @default.
- W2962681995 hasVolume "62" @default.
- W2962681995 isParatext "false" @default.
- W2962681995 isRetracted "false" @default.
- W2962681995 magId "2962681995" @default.
- W2962681995 workType "article" @default.