The Gelfand–Naimark–Segal construction for unitary representations of $\mathbb Z_2^n$-graded Lie supergroups
Volume 113 / 2017
Banach Center Publications 113 (2017), 263-274
MSC: 17B75; 22E45.
DOI: 10.4064/bc113-0-14
Abstract
We establish a Gelfand–Naimark–Segal construction which yields a correspondence between cyclic unitary representations and positive definite superfunctions of a general class of $\mathbb Z_2^n$-graded Lie supergroups.