Work

Selfless reduced free products and graph products of C⁎-algebras

Year: 2026

Type: article

Abstract: Under mild assumptions, we show that reduced free products and reduced graph products of C ⁎ -algebras are completely selfless, without assuming the rapid decay property. In particular, our main theorems yield numerous new examples of simple, monotracial C ⁎ -algebras with strict comparison, stable rank one, and admitting a unique unital embedding of the Jiang–Su algebra Z up to approximate unitary equivalence, and of purely infinite C ⁎ -algebras in the traceless case.

Source: Advances in Mathematics

DOI: 10.1016/j.aim.2026.111190

Authors: Felipe Flores, Mario Klisse, Mícheál Ó Cobhthaigh, Matteo Pagliero

Institutions: University of Virginia, Christian-Albrechts-Universität zu Kiel, University of Southern Denmark

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790