2010/03/10 by Valerio Capraro, Capraro, Valerio
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #History and Overview (math.HO) #Holomorphic and Operator Theory #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.1003.2076
openalex publication_date 2010/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a very celebrated paper A. Connes has formulated a conjecture which is now one of the most important open problem in Operator Algebras. This importance comes from the works of many mathematicians who have found some unexpected equivalent statements showing as this conjecture is transversal to almost all the sub-specialization of Operator Algebras. In this survey I would like to give a more or less detailed description of all these approaches.