Equivariant dimensions of graph C*-algebras

Alexandru Chirvasitu; Benjamin Passer; Mariusz Tobolski

doi:10.1016/j.jfa.2020.108912

Equivariant dimensions of graph C*-algebras

Alexandru Chirvasitu
, Benjamin Passer
, Mariusz Tobolski

Mathematics

United States Naval Academy
University of Wrocław

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We explore the recently introduced local-triviality dimensions by studying gauge actions on graph C^⁎-algebras, as well as the restrictions of the gauge action to finite cyclic subgroups. For C^⁎-algebras of finite acyclic graphs and finite cycles, we characterize the finiteness of these dimensions, and we further study the gauge actions on many examples of graph C^⁎-algebras. These include the Toeplitz algebra, Cuntz algebras, and q-deformed spheres.

Original language	English
Article number	108912
Journal	Journal of Functional Analysis
Volume	280
Issue number	6
DOIs	https://doi.org/10.1016/j.jfa.2020.108912
State	Published - Mar 15 2021

Keywords

Cuntz algebra
Graph C-algebra
Local-triviality dimension
Toeplitz algebra

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abstract = "We explore the recently introduced local-triviality dimensions by studying gauge actions on graph C⁎-algebras, as well as the restrictions of the gauge action to finite cyclic subgroups. For C⁎-algebras of finite acyclic graphs and finite cycles, we characterize the finiteness of these dimensions, and we further study the gauge actions on many examples of graph C⁎-algebras. These include the Toeplitz algebra, Cuntz algebras, and q-deformed spheres.",

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AU - Passer, Benjamin

AU - Tobolski, Mariusz

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N2 - We explore the recently introduced local-triviality dimensions by studying gauge actions on graph C⁎-algebras, as well as the restrictions of the gauge action to finite cyclic subgroups. For C⁎-algebras of finite acyclic graphs and finite cycles, we characterize the finiteness of these dimensions, and we further study the gauge actions on many examples of graph C⁎-algebras. These include the Toeplitz algebra, Cuntz algebras, and q-deformed spheres.

AB - We explore the recently introduced local-triviality dimensions by studying gauge actions on graph C⁎-algebras, as well as the restrictions of the gauge action to finite cyclic subgroups. For C⁎-algebras of finite acyclic graphs and finite cycles, we characterize the finiteness of these dimensions, and we further study the gauge actions on many examples of graph C⁎-algebras. These include the Toeplitz algebra, Cuntz algebras, and q-deformed spheres.

KW - Cuntz algebra

KW - Graph C-algebra

KW - Local-triviality dimension

KW - Toeplitz algebra

UR - https://www.scopus.com/pages/publications/85098631859

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DO - 10.1016/j.jfa.2020.108912

M3 - Article

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VL - 280

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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ER -

Equivariant dimensions of graph C*-algebras

Abstract

Keywords

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