Finite dimensional representations of the soft torus

Details Finite dimensional representations of the soft torus Finite dimensional representations of the soft torus

1998-10-28

arxiv.org/abs/math/9810165v1

Mathematics

Operator Algebras

Scientific paper

The soft tori constitute a continuous deformation, in a very precise sense,
from the commutative C*-algebra C(T^2) to the highly non-commutative C*-algebra
C*(F_2). Since both of these C*-algebras are known to have a separating family
of finite dimensional representations, it is natural to ask whether that is
also the case for the soft tori. We show that this is in fact the case.

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