Let
be a free (unitary or orthogonal) quantum group. We prove that for any nonamenable
subfactor
which is an image of a faithful normal conditional expectation, and for any
-finite factor
, the tensor
product
has
no Cartan subalgebras. This generalizes our previous work that provides the same result when
is finite. In the
proof, we establish Ozawa–Popa and Popa–Vaes’s weakly compact action on the continuous core of
as the one
relative to
, by using an operator-valued
weight to
and the central
weak amenability of
.
PDF Access Denied
We have not been able to recognize your IP address
44.201.94.236
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
