Skip to main content

All Questions

Filter by
Sorted by
Tagged with
3 votes
0 answers
109 views

Faithful traces on reduced $C^*$-algebra of a measured groupoid

Let $G$ be a measured étale groupoid with quasi-invariant measure $\mu$ (that induces the reduced $C^* $-algebra, meaning it has full support) with associated equivalent measures $\nu,\nu^{-1}$. Is ...
Tomás Pacheco's user avatar
9 votes
0 answers
267 views

Can we extend c.p. normal maps on a finite von Neumann algebra $M$ to $L_0(M)_+$?

Suppose that $M$ is a von Neumann algebra with a finite, normal, faithful trace $\tau$. Let $T\colon M\to M$ be a completely positive, normal map. Can $T$ be extended to a `positively linear map' ...
Tomasz Kania's user avatar
  • 11.3k