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arXiv · 1212.5756

Crossed products by Hecke pairs I: *-algebraic theory

Rui Palma
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Abstract

We develop a theory of crossed products by "actions" of Hecke pairs $(G, Γ)$, motivated by applications in non-abelian $C^*$-duality. Our approach gives back the usual crossed product construction whenever $G / Γ$ is a group and retains many of the aspects of crossed products by groups. In this first of two articles we lay the $^*$-algebraic foundations of these crossed products by Hecke pairs and we explore their representation theory.

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Rui Palma. 2012-12-23. Crossed products by Hecke pairs I: *-algebraic theory. https://arxiv.org/abs/1212.5756

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