# Analysis seminar

Friday, October 24, 2014 — 3:30 PM EDT

## Matthew Wiersma, Pure Mathematics, University of Waterloo

### "Intermediate $C^*$-norms"

It is known that $C^*$-algebras admit unique $C^*$-norms, but this is not true in general for dense $*$-subalgebras of $C^*$-algebras. For example, if $\Gamma$ is a discrete group, then the group ring $\mathbb C[\Gamma]$ may admit more than one $C^*$-norm. Similarly, the algebraic tensor product $\mathcal A\otimes \mathcal B$ of $C^*$-algebras $\mathcal A$ and $\mathcal B$ may admit multiple $C^*$-norms. Each of these examples admits two canonical $C^*$-norms. During this talk, we will investigate $C^*$-norms which fall between these canonical constructions.

Location
MC - Mathematics & Computer Building
5158B
200 University Avenue West

Waterloo, ON N2L 3G1

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