Friday, May 10, 2019 10:30 am
-
10:30 am
EDT (GMT -04:00)
Samuel Harris, University of Waterloo
"The
Brown
operator
system
and
unitary
correlations"
In
this
talk
we'll
consider
a
certain
universal
C^*-algebra
called
the
Brown
algebra.
We'll
also
consider
the
operator
system
spanned
by
the
generators
of
this
algebra
(we
call
this
the
Brown
operator
system).
While
the
Brown
operator
system
is
also
universal
in
a
certain
sense,
we'll
see
that
it
can
be
realized
as
an
operator
system
quotient
of
the
space
M_{2n}
of
2n
\times
2n
matrices.
After
connecting
the
Brown
operator
system
to
an
important
open
problem
in
operator
algebras
(Connes'
embedding
problem),
we'll
start
developing
a
theory
of
unitary
correlation
sets
from
states
on
tensor
products
of
the
Brown
operator
system.
MC
5403