The Hadamard product in a crossed product C*-algebra
Operator Algebras
2019-06-13 v2 Functional Analysis
Group Theory
Quantum Algebra
Abstract
We show that for a C*-algebra A and a discrete group G with an action of G on A, the reduced crossed product C*-algebra possesses a natural generalization of the convolution product, which we suggest should be named the Hadamard product. We show that this product has a natural Stinespring representation and we lift some known results on block Schur products to this setting, but we also show that the block Schur product is a special case of the Hadamard product in a crossed product algebra.
Cite
@article{arxiv.1905.05630,
title = {The Hadamard product in a crossed product C*-algebra},
author = {Erik Christensen},
journal= {arXiv preprint arXiv:1905.05630},
year = {2019}
}
Comments
The Stinespring representation of the Hadamard product is now given in a simple explicit form