
Operator Algebra Seminars
Fri., Oct. 19, 2018 1:30 p.m. - Fri., Oct. 19, 2018 2:30 p.m.
Location: Classroom Building (CL) 416
Speaker: Kenneth R. Davidson, University of Waterloo
Title: Free Semigroupoid Algebras
Abstract:
A free semigroupoid algebra is the WOT-closure of the algebra generated by a Toeplitz-Cuntz-Kreiger family of a graph. We obtain a structure theory for these algebras analogous to that of free semigroup algebra. These results are applied to obtain a Lebesgue-von Neumann-Wold decomposition of TCK families, along with reflexivity, a Kaplansky density theorem and classification for free semigroupoid algebras. Several classes of examples are discussed.
This is joint work with Adam Dor-On and Boyu Li.