2009•arXiv (Cornell University)Open access

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

Katsunori Kawamura

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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.

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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.

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Available 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.

Key concepts: Kronecker product, Tensor product, Tensor product of Hilbert spaces, Tensor product of algebras, Kronecker delta, Tensor (intrinsic definition), Product (mathematics), Mathematics

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