Product States of Infinite Tensor Product of JC-algebras

Abstract

The objective of our study is to generalize the results on product states of the tensor product of two JC-algebras to infinite tensor product JC-algebras. Also, we characterize the tracial product state of the tensor product of two JC-algebras, and the tracial product state of infinite tensor products of JC-algebras.

Keywords

• C*-algebras
• JC-algebras
• Jordan algebras
• universal enveloping algebras
• states
• tensor products of operator algebras