On type III_1 factors arising as free products
Yoshimichi Ueda
TL;DR
This paper investigates type III_1 factors formed as free products of von Neumann algebras, computing key invariants without additional assumptions, thereby advancing understanding of their structure.
Contribution
It provides explicit calculations of Connes' Sd- and tau-invariants for type III_1 factors from free products, filling a gap in the existing literature.
Findings
Computed Sd-invariant for these factors
Computed tau-invariant for these factors
No extra assumptions needed for the calculations
Abstract
Type III_1 factors arising as (direct summands of) von Neumann algebraic free products are investigated. In particular we compute Connes' Sd- and tau- invariants for those type III_1 factors without any extra assumption.
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