Linear Analysis Seminar

Date: March 27, 2015

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Da Zheng, University of Houston

Title: The Operator System Generated by Cuntz Isometries

Abstract: In this talk, we will consider the operator system S_n, for n greater than 2, generated by isometries s₁,...,s_n satisfying the Cuntz relation: s₁s₁^* +...+ s_ns_n^*=I. We will exhibit an operator system E_n ⊆ M_n living in the n by n matrices and prove that S_n is completely order isomorphic to a quotient of E_n. Next, we will study tensor products of S_n and examine the various notions of nuclearity of S_n in the category of operator systems. Finally, some open problems are discussed.