Toeplitz algebras associated to Endomorphisms of Ore semigroups
Operator Algebras
2016-01-22 v2
Abstract
In this paper, we consider the Toeplitz algebra associated to actions of Ore semigroups on -algebras. In particular, we consider injective and surjective actions of such semigroups. We use the theory of groupoid dynamical systems to represent the Toeplitz algebra as a groupoid crossed product. We also discuss the K-theory of the Toeplitz algebra in some examples. For instance, we show that for the semigroup of positive matrices, the K-theory of the associated Toeplitz algebra vanishes.
Keywords
Cite
@article{arxiv.1503.00828,
title = {Toeplitz algebras associated to Endomorphisms of Ore semigroups},
author = {S. Sundar},
journal= {arXiv preprint arXiv:1503.00828},
year = {2016}
}