On the unitary group of the multiplier algebra of the Razak algebra
Volume 256 / 2021
Studia Mathematica 256 (2021), 93-107
MSC: Primary 46L80, 47A10, 47A53.
DOI: 10.4064/sm190824-29-11
Published online: 19 June 2020
Abstract
Let $\mathcal W $ be the Razak algebra, which is an example of a continuous scale ${\rm C}^*$-algebra with $K_*(\mathcal W ) = 0$ and unique trace. We show that the group $U(\mathcal M (\mathcal W ))$ is path connected in the norm topology.
