Gaussian elements in CCR algebras
Mathematical Physics
2019-10-01 v2 math.MP
Operator Algebras
Abstract
A system of matrix units in the Weyl algebra of convolution type is constructed with the aid of a Gaussian element so that it includes von Neumann's minimal projection, which explicitly shows that the associated C*-algebra is a compact operator algebra. The spectral decomposition of an arbitrary Gaussian element is then worked out in terms of the diagonal projections in the matrix units.
Cite
@article{arxiv.1908.10428,
title = {Gaussian elements in CCR algebras},
author = {Shigeru Yamagami},
journal= {arXiv preprint arXiv:1908.10428},
year = {2019}
}
Comments
10 pages, minor corrections with one reference added