Masas and Bimodule Decompositions of $\rm{II}_{1}$ Factors
| dc.creator | Mukherjee, Kunal | |
| dc.date | 2008-12-06 | |
| dc.date.accessioned | 2026-07-07T12:10:00Z | |
| dc.date.available | 2026-07-07T12:10:00Z | |
| dc.description | The measure-multiplicity-invariant for masas in $\rm{II}_{1}$ factors was introduced in \cite{MR2261688} to distinguish masas that have the same Pukánszky invariant. In this paper we study the measure class in the measure-multiplicity-invariant. This is equivalent to studying the standard Hilbert space as an associated bimodule. We characterize the type of any masa depending on the left-right-measure using Baire category methods (selection principle of Jankov and von Neumann). We present a second proof of Chifan's result on normalisers and a measure theoretic proof of the equivalence of weak asymptotic homomorphism property (WAHP) and singularity that appeared in \cite{MR2417416}. | |
| dc.identifier | https://arxiv.org/abs/0812.1257 | |
| dc.identifier | http://arxiv.org/abs/0812.1257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209818 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46Lxx | |
| dc.title | Masas and Bimodule Decompositions of $\rm{II}_{1}$ Factors | |
| dc.type | text |