Work

Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries

Year: 2024

Type: article

Abstract: We prove that if a totally disconnected locally compact group admits a topologically free boundary, then the reduced crossed product of continuous functions on its Furstenberg boundary by the group is simple. We also prove a partial converse of this result.

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2024.110732

Author: Ryoya Arimoto

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,670

Funder: Japan Society for the Promotion of Science

Awards: Theory of operator algebras and functional analytic group theory, G2179937122, C*-単純性に関する研究, Developments of operator algebra theory and functional analytic group theory