Corpus ID: 15848865

Free Semigroupoid Algebras

@article{Kribs2003FreeSA,
  title={Free Semigroupoid Algebras},
  author={D. Kribs and S. Power},
  journal={arXiv: Operator Algebras},
  year={2003}
}
Every countable directed graph generates a Fock space Hilbert space and a family of partial isometries. These operators also arise from the left regular representations of free semigroupoids derived from directed graphs. We develop a structure theory for the weak operator topology closed algebras generated by these representations, which we call free semigroupoid algebras. We characterize semisimplicity in terms of the graph and show explicitly in the case of finite graphs how the Jacobson… Expand
IDEAL STRUCTURE IN FREE SEMIGROUPOID ALGEBRAS FROM DIRECTED GRAPHS
Algebras of Higher Rank Graphs
Partly Free Algebras From Directed Graphs
Structure of free semigroupoid algebras
A Class of Limit Algebras Associated with Directed Graphs
Commutants of weighted shift directed graph operator algebras
Compact operators and nest representations of limit algebras
All finite transitive graphs admit a self-adjoint free semigroupoid algebra
  • Adam Dor-On, C. Linden
  • Mathematics
  • Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  • 2021
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