Non-commutative
harmonic
analysis
Nico’s
research
interests
include
non-commutative
harmonic
analysis,
and
operator
spaces.
Recent
work
involves
the
analysis
of
homomorphisms
between
Fourier
and
Fourier-Stieltjes
algebra
(with
M.
Illey).
The
theorem
generalizes
results
for
known
abelian
group
algebras
using
operator
space
theory
and
the
types
of
maps
that
operator
space
theory
allows.
The
response
to
this
work
has
been
satisfying.
“I
am
pleased
to
make
a
meaningful
contribution
to
the
understanding
of
the
particular
algebras
that
I
study,”
says
Spronk.
Additional
avenues
of
study
are
on
finer
structures
of
Fourier-Stieltjes
algebra
and
furthering
some
of
the
work
from
his
thesis
–
representations
and
spaces
in
completely
bounded
maps.
University
of
Waterloo
Mathematics,
Annual
Report
2004
