David Penneys, University of Toronto
“GJS C*-algebras”
Guionnet-Jones-Shlyakhtenko
(GJS)
gave
a
diagrammatic
proof
of
a
result
of
Popa
which
reconstructs
a
subfactor
from
a
subfactor
planar
algebra.
In
the
process,
certain
canonical
graded
*-algebras
with
traces
appear.
In
the
GJS
papers,
they
show
that
the
von
Neumann
algebras
generated
by
the
graded
algebras
are
interpolated
free
group
factors.
I
will
talk
about
current
joint
work
with
Hartglass
which
examines
the
C*-algebras
generated
by
the
graded
algebras.