Work

On relative commutants of subalgebras in group and tracial crossed product von Neumann algebras

Year: 2024

Type: article

Abstract: Let be a discrete group acting on a compact Hausdorff space X.Given x ∈ X and µ ∈ Prob(X), we introduce the notion of contraction of µ towards x with respect to unitary elements of a group von Neumann algebra not necessarily coming from group elements.Using this notion, we study relative commutants of subalgebras in tracial crossed product von Neumann algebras.The results are applied to negatively curved groups and SL(d, ‫)ޚ‬ for d ≥ 2.

Source: Pacific Journal of Mathematics

DOI: 10.2140/pjm.2024.331.1

Authors: Tattwamasi Amrutam, Jacopo Bassi

Institutions: Ben-Gurion University of the Negev, Institute of Mathematics, Polish Academy of Sciences, University of Rome Tor Vergata

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, HORIZON EUROPE European Research Council

Awards: G2438227505, G3207356259, G393177772, Random Walks on Groups, Commutative and Non-commutative Dynamics