A uniqueness theorem for the Nica-Toeplitz algebra of a compactly aligned product system

DOI10.1216/RMJ-2019-49-5-1563zbMath1462.46075arXiv1705.00775OpenAlexW2974047825MaRDI QIDQ2326032

James Fletcher

Publication date: 4 October 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00775

zbMATH Keywords

Hilbert modulesproduct systemToeplitz algebrasCuntz algebrasnoncommutative dynamics

Mathematics Subject Classification ID

(C^*)-modules (46L08) Noncommutative dynamical systems (46L55)

Related Items (2)

Partial-isometric crossed products of dynamical systems by left LCM semigroups ⋮ Nica-Toeplitz algebras associated with product systems over right LCM semigroups

Cites Work

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• Discrete product systems of Hilbert bimodules.
• Discrete product systems and their \(C^*\)-algebras
• Iterating the Cuntz-Nica-Pimsner construction for compactly aligned product systems
• Nica-Toeplitz algebras associated with product systems over right LCM semigroups
• Semigroup crossed products and the Toeplitz algebras of nonabelian groups
• Continuous analogues of Fock space
• The Toeplitz algebra of a Hilbert bimodule
• A categorical approach to imprimitivity theorems for 𝐶*-dynamical systems
• The 𝐶*-algebra generated by an isometry
• $C^*$-Algebra relations

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