On the Wiener-Hopf compactification of a Symmetric Cone
Operator Algebras
2016-06-13 v1
Abstract
Let V be a finite dimensional real Euclidean Jordan algebra with the identity element 1. Let Q be the closed convex cone of squares. We show that the Wiener- Hopf compactification of Q is the interval (1-Q) \cap (-1+Q). As a consequence, we deduce that the K-groups of the Wiener-Hopf C^{*}-algebra associated to Q are trivial.
Keywords
Cite
@article{arxiv.1606.03210,
title = {On the Wiener-Hopf compactification of a Symmetric Cone},
author = {S. Sundar},
journal= {arXiv preprint arXiv:1606.03210},
year = {2016}
}