Groupoids and C*-algebras for left cancellative small categories

DOI10.1512/iumj.2020.69.7969zbMath1467.46053arXiv1712.07720OpenAlexW3082171343MaRDI QIDQ3387514

Jack Spielberg

Publication date: 13 January 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07720

zbMATH Keywords

monoidsgroupoidsCuntz-Krieger algebrasToeplitz algebrasleft cancellative small categoriesWiener-Hopf algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (10)

AF 𝐶*-algebras from non-AF groupoids ⋮ Toeplitz algebras of semigroups ⋮ A GENERALISATION OF HIGHER-RANK GRAPHS ⋮ Higher dimensional generalizations of the Thompson groups ⋮ On zigzag maps and the path category of an inverse semigroup ⋮ Zappa-Szép products for partial actions of groupoids on left cancellative small categories ⋮ Left regular representations of Garside categories I. C^*-algebras and groupoids ⋮ Higher dimensional generalizations of the Thompson groups via higher rank graphs ⋮ The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations ⋮ On finitely aligned left cancellative small categories, Zappa-Sz\'ep products and Exel-Pardo algebras

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