Matches in SemOpenAlex for { <https://semopenalex.org/work/W1998905070> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W1998905070 endingPage "306" @default.
- W1998905070 startingPage "299" @default.
- W1998905070 abstract "Let A be a commutative, semi-simple, convolution measure algebra in the sense of Taylor ( 6 ), and let S denote its structure semigroup. In ( 2 ) we initiated a study of some of the relationships between the topological structure of A ^ (the spectrum of A ), the algebraic properties of S , and the way that A lies in M ( S ). In particular, we asked when it is true that A is invariant in M ( S ) or an ideal of M ( S ) and also whether it is possible to characterise those measures on S which are elements of A . It appeared from ( 2 ) that if A is invariant in M ( S ) then S must be a union of groups and that A ^ must be a space which is in some sense “ very disconnected ”. In ( 3 ) we showed that if A ^ is discrete then A is “ approximately ” an ideal of M ( S ). (What is meant by “ approximately ” is explained in ( 3 ); it is the best one can expect since algebras which are approximately equal have identical structure semigroups and spectra.) In this paper we round off some of the results of ( 2 ) and ( 3 ). We show that if A is invariant in M ( S ) then A ^ is totally disconnected, and that if A ^ is totally disconnected then S is an inverse semigroup (union of groups). From these two crucial facts it is fairly straight-forward to obtain a complete characterisation of algebras A (and their structure semigroups) for which (i) A ^ is totally disconnected, (ii) A is invariant in M ( S ), or (iii) A is an ideal of M ( S )." @default.
- W1998905070 created "2016-06-24" @default.
- W1998905070 creator A5002683947 @default.
- W1998905070 date "1973-12-01" @default.
- W1998905070 modified "2023-09-26" @default.
- W1998905070 title "Invariant convolution algebras" @default.
- W1998905070 cites W1987402196 @default.
- W1998905070 cites W1998285808 @default.
- W1998905070 cites W2015093045 @default.
- W1998905070 cites W2028092116 @default.
- W1998905070 cites W2069774389 @default.
- W1998905070 cites W2081218672 @default.
- W1998905070 cites W2164037861 @default.
- W1998905070 doi "https://doi.org/10.1017/s0013091500010099" @default.
- W1998905070 hasPublicationYear "1973" @default.
- W1998905070 type Work @default.
- W1998905070 sameAs 1998905070 @default.
- W1998905070 citedByCount "0" @default.
- W1998905070 crossrefType "journal-article" @default.
- W1998905070 hasAuthorship W1998905070A5002683947 @default.
- W1998905070 hasBestOaLocation W19989050701 @default.
- W1998905070 hasConcept C111472728 @default.
- W1998905070 hasConcept C118615104 @default.
- W1998905070 hasConcept C134306372 @default.
- W1998905070 hasConcept C138885662 @default.
- W1998905070 hasConcept C182419690 @default.
- W1998905070 hasConcept C183778304 @default.
- W1998905070 hasConcept C190470478 @default.
- W1998905070 hasConcept C202444582 @default.
- W1998905070 hasConcept C207405024 @default.
- W1998905070 hasConcept C2776639384 @default.
- W1998905070 hasConcept C31498916 @default.
- W1998905070 hasConcept C33923547 @default.
- W1998905070 hasConcept C37914503 @default.
- W1998905070 hasConcept C89436406 @default.
- W1998905070 hasConcept C9376300 @default.
- W1998905070 hasConceptScore W1998905070C111472728 @default.
- W1998905070 hasConceptScore W1998905070C118615104 @default.
- W1998905070 hasConceptScore W1998905070C134306372 @default.
- W1998905070 hasConceptScore W1998905070C138885662 @default.
- W1998905070 hasConceptScore W1998905070C182419690 @default.
- W1998905070 hasConceptScore W1998905070C183778304 @default.
- W1998905070 hasConceptScore W1998905070C190470478 @default.
- W1998905070 hasConceptScore W1998905070C202444582 @default.
- W1998905070 hasConceptScore W1998905070C207405024 @default.
- W1998905070 hasConceptScore W1998905070C2776639384 @default.
- W1998905070 hasConceptScore W1998905070C31498916 @default.
- W1998905070 hasConceptScore W1998905070C33923547 @default.
- W1998905070 hasConceptScore W1998905070C37914503 @default.
- W1998905070 hasConceptScore W1998905070C89436406 @default.
- W1998905070 hasConceptScore W1998905070C9376300 @default.
- W1998905070 hasIssue "4" @default.
- W1998905070 hasLocation W19989050701 @default.
- W1998905070 hasOpenAccess W1998905070 @default.
- W1998905070 hasPrimaryLocation W19989050701 @default.
- W1998905070 hasRelatedWork W1994679396 @default.
- W1998905070 hasRelatedWork W1998905070 @default.
- W1998905070 hasRelatedWork W2005371231 @default.
- W1998905070 hasRelatedWork W2016182763 @default.
- W1998905070 hasRelatedWork W2038106543 @default.
- W1998905070 hasRelatedWork W2137507960 @default.
- W1998905070 hasRelatedWork W2918477878 @default.
- W1998905070 hasRelatedWork W3181599934 @default.
- W1998905070 hasRelatedWork W3199852337 @default.
- W1998905070 hasRelatedWork W4298043812 @default.
- W1998905070 hasVolume "18" @default.
- W1998905070 isParatext "false" @default.
- W1998905070 isRetracted "false" @default.
- W1998905070 magId "1998905070" @default.
- W1998905070 workType "article" @default.