"A case study of non-commutative geometry."
Non-commutative topology uses the tools of
C*-algebras and algebraic topology to study
phenomena from classical topology, geometry,
functional analysis, and physics. In this talk we
show how the same C*-algebra arises from
quantum mechanics, rotations of the circle, and
a flow on a torus. We then demonstrate how it
is possible to retrieve information from the
model using K-theory for C*-algebras. This is
the opposite of a survey talk: the focus will be
exclusively upon one example. No knowledge
of C*-algebras or K-theory will be assumed.
Graduate students are very welcome to attend.