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## 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.

#### Authors

Institute for Advanced Studies in Basic Sciences (IASBS)
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• Hadi SalmasianDepartment of Mathematics and Statistics
University of Ottawa
585 King Edward Ave