Limit algebras and integer-valued cocycles, revisited

作者:Katsoulis Elias G*; Ramsey Christopher
来源:Journal of the London Mathematical Society-Second Series, 2016, 94(3): 839-858.
DOI:10.1112/jlms/jdw060

摘要

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 Z0+ 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.

  • 出版日期2016-12
  • 单位East Carolina

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