On Isometric Representations of the Perforated Semigroup
Abstract
We study isometric representations of the semigroup $\mathbb{Z}_+\backslash \{1\}$. Notion of an inverse representation is introduced and a complete description (up to unitary equivalence) of such representations is given. Also, we study a class of non-inverse irreducible representations -- $\beta$-representations of the semigroup $\mathbb{Z}_+\backslash \{1\}$.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2013
- DOI:
- 10.48550/arXiv.1303.0387
- arXiv:
- arXiv:1303.0387
- Bibcode:
- 2013arXiv1303.0387G
- Keywords:
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- Mathematics - Operator Algebras;
- Mathematics - Functional Analysis;
- Mathematics - Group Theory;
- 46L05;
- 20M18
- E-Print:
- Short communication, 5 pages