Limit algebras and integer-valued cocycles, revisited

dc.contributor.author	Katsoulis, Elias G.
dc.contributor.author	Ramsey, Christopher
dc.date.accessioned	2020-12-15
dc.date.accessioned	2022-05-31T01:43:00Z
dc.date.available	2022-05-31T01:43:00Z
dc.date.issued	2016
dc.description.abstract	A triangular limit algebra A is isometrically isomorphic to the tensor algebra of a C-correspondence if and only if its fundamental relation R(A) is a tree admitting a Z+0-valued continuous and coherent cocycle. For triangular limit algebras which are isomorphic to tensor algebras, we give a very concrete description for their defining C-correspondence and we show that it forms a complete invariant for isometric isomorphisms between such algebras. A related class of operator algebras is also classified using a variant of the Aho-Hopcroft-Ullman algorithm from computer aided graph theory.
dc.format.extent	393.58KB
dc.format.mimetype	PDF
dc.identifier.citation	Katsoulis, E. and C. Ramsey. (2016). "Limit algebras and integer-valued cocycles, revisited." Journal of the London Mathematical Society 94, 839-858. https://doi.org/10.1112/jlms/jdw060
dc.identifier.doi	https://doi.org/10.1112/jlms/jdw060
dc.identifier.uri	https://hdl.handle.net/20.500.14078/2097
dc.language	English
dc.language.iso	en
dc.rights	All Rights Reserved
dc.subject	operator algebras
dc.title	Limit algebras and integer-valued cocycles, revisited	en
dc.type	Article Post-Print
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