Brerezin kernels and Wold decompositions associated with noncommutative polydomains

Popescu, Gelu

doi:10.1090/proc/15170

Brerezin kernels and Wold decompositions associated with noncommutative polydomains
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Proc. Amer. Math. Soc. 148 (2020), 4887-4905 Request permission

Abstract:

Noncommutative Berezin kernels are used to obtain Wold decompositions for $*$-representations of $C^*$-algebras associated with noncommutative polydomains. We study the structure of these representations and $C^*$-algebras and obtain some classification results.

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