Rigidity results for $L^p$-operator algebras and applications

Yemon Choi, Eusebio Gardella, Hannes Thiel

For $p\in [1,\infty )$, we show that every unital $L^p$-operator algebra contains a unique maximal $C^{\ast }$-subalgebra, which is always abelian if $p\ne 2$. Using this, we canonically…