Toeplitz algebras associated to endomorphisms of Ore semigroups

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• 作者：S. Sundar ^{sundarsobers@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 22A22 ; secondary ; 54H20 ; 43A65 ; 46L55
• 刊名：Journal of Functional Analysis
• 出版年：2016
• 出版时间：15 August 2016
• 年：2016
• 卷：271
• 期：4
• 页码：833-882
• 全文大小：768 K

文摘

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