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arXiv · 1503.00828

Toeplitz algebras associated to Endomorphisms of Ore semigroups

S. Sundar
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Abstract

In this paper, we consider the Toeplitz algebra associated to actions of Ore semigroups on $C^{*}$-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.

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S. Sundar. 2015-03-03. Toeplitz algebras associated to Endomorphisms of Ore semigroups. https://arxiv.org/abs/1503.00828

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