Non-commutative metric topology on matrix state space

Details Non-commutative metric topology on matrix state space Non-commutative metric topology on matrix state space

2004-10-27

arxiv.org/abs/math/0410587v1

Proc. Amer. Math. Soc. 134 (2006), no. 2, 443--453

Mathematics

Operator Algebras

10 pages

Scientific paper

We present an operator space version of Rieffel's theorem on the agreement of the metric topology, on a subset of the Banach space dual of a normed space, from a seminorm with the weak*-topology. As an application we obtain a necessary and sufficient condition for the matrix metric from an unbounded Fredholm module to give the BW-topology on the matrix state space of the $C^*$-algebra. Motivated by recent results we formulate a non-commutative Lipschitz seminorm on a matrix order unit space and characterize those matrix Lipschitz seminorms whose matrix metric topology coincides with the BW-topology on the matrix state space.

Affiliated with

Also associated with

No associations

Rating

Non-commutative metric topology on matrix state space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-commutative metric topology on matrix state space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-commutative metric topology on matrix state space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-345950