A tensor product of representations of UHF algebras arising from Kronecker products

Abstract

We introduce a non-symmetric tensor product of representations of UHF algebras by using Kronecker products of matrices. We prove tensor product formulae of GNS representations by product states and show examples.

11 pages

References in corpus (1)

• Classification and realizations of type III factor representations of Cuntz-Krieger algebras associated with quasi-free states

Cited by in corpus (1)

• Inductive limit violates quasi-cocommutativity