most citedOn *-representations of a certain class of algebras related to a graph

9 citations · 14 across the 2 of their papers we have counts for

collaborators

3 papers

math.RA2005★ 5 cited

Special characters on star graphs and representations of -algebras

Vasyl Ostrovskyi

For a star-shaped graph, we introduce special characters and study their properties. We decompose special characters into odd and even parts and study their evolution under reflect…

math.RT2005★ 9 cited

On *-representations of a certain class of algebras related to a graph

Vasyl Ostrovskyi

We study families of self-adjoint operators with given spectra whose sum is a scalar operator. Such families are -representations of certain algebras which can be described in t…

math.OA1999

Representation Theory and Numerical AF-invariants: The representations and centralizers of certain states on O_d

Ola Bratteli, Palle E. T. Jorgensen, Vasyl Ostrovskyi

Let O_d be the Cuntz algebra on generators S_1,...,S_d, 2 \leq d < \infty, and let D_d \subset O_d be the abelian subalgebra generated by monomials S_αS_α^* =S_{α_{1}}...S_{α_{k}}S…