Work

The admissible KMS bundles on classifiable C⁎-algebras

Year: 2024

Type: article

Abstract: Given any unital, finite, classifiable $\mathrm{C}^*$ -algebra A with real rank zero and any compact simplex bundle with the fibre at zero being homeomorphic to the space of tracial states on A, we show that there exists a flow on A realizing this simplex. Moreover, we show that given any unital $\mathrm{UCT}$ Kirchberg algebra A and any proper simplex bundle with empty fibre at zero, there exists a flow on A realizing this simplex.

Source: Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI: 10.1017/prm.2024.125

Author: Robert Neagu

Institution: KU Leuven

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

Funders: European Commission, HORIZON EUROPE Framework Programme, Engineering and Physical Sciences Research Council