Translator Disclaimer
2019 Cartan subalgebras of tensor products of free quantum group factors with arbitrary factors
Yusuke Isono
Anal. PDE 12(5): 1295-1324 (2019). DOI: 10.2140/apde.2019.12.1295

Abstract

Let G be a free (unitary or orthogonal) quantum group. We prove that for any nonamenable subfactor NL(G) which is an image of a faithful normal conditional expectation, and for any σ-finite factor B, the tensor product N¯B has no Cartan subalgebras. This generalizes our previous work that provides the same result when B is finite. In the proof, we establish Ozawa–Popa and Popa–Vaes’s weakly compact action on the continuous core of L(G)¯B as the one relative to B, by using an operator-valued weight to B and the central weak amenability of G ̂.

Citation

Download Citation

Yusuke Isono. "Cartan subalgebras of tensor products of free quantum group factors with arbitrary factors." Anal. PDE 12 (5) 1295 - 1324, 2019. https://doi.org/10.2140/apde.2019.12.1295

Information

Received: 11 January 2018; Accepted: 16 September 2018; Published: 2019
First available in Project Euclid: 5 January 2019

zbMATH: 07006763
MathSciNet: MR3892405
Digital Object Identifier: 10.2140/apde.2019.12.1295

Subjects:
Primary: 46L10, 46L36
Secondary: 58B32

Rights: Copyright © 2019 Mathematical Sciences Publishers

JOURNAL ARTICLE
30 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.12 • No. 5 • 2019
MSP
Back to Top