Work

Weak tracial approximation and a weak Rokhlin property for C*-dynamical systems

Year: 2026

Type: preprint

Abstract: We extend results on tracial approximability of crossed products from the setting of topological dynamical systems to C*-dynamical systems. For actions of discrete amenable groups on unital C*-algebras, we introduce a weak Rokhlin property which leads to a weak tracial approximation of the crossed products by means of finite direct sums of matrix algebras over hereditary subalgebras of the original algebra. Examples are given.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.37558

Authors: Elliott, George A., Li, Chun Guang, Niu, Zhuang, Wang, Qingyun

Institution: University of Wyoming

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Sciences and Engineering Research Council of Canada

Award: G7474501541

OpenAlex ID: W7224135059

Cites: 58

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Related to: 10