Analysis Seminar

Don Hadwin, University of New Hampshire

"Tracial Stability for C*-algebras (and Groups)"

The type of stability I will discuss is an analogue of weak semiprojectivity of C*-algebras. An example is if $A=A^{\ast}$ and $\left\Vert A^{2}-A\right\Vert $ is sufficiently small, then there is a projection $P$ in the C*-algebra generated by $A$ such that $\left\Vert P-A\right\Vert $ is small. We study the analogue when each C*-algebra has a trace $\tau$ and $\left\Vert X\right\Vert $ is replaced by $\left\Vert X\right\Vert =\tau\left( X^{\ast}X\right)  ^{1/2}$. If time permits, we will discuss tracially stable relations on groups.  

This is joint work with Tanya Shulman.

MC 5417