Krein C*-categories

Details Krein C*-categories Krein C*-categories

2011-12-27

arxiv.org/abs/1112.5996v1

Chamchuri Journal of Mathematics 1 n. 2, 63-77 (2009)

Mathematics

Operator Algebras

10 pages, AMS-LaTeX2e

Scientific paper

C*-categories are essentially norm-closed *-categories of bounded linear operators between Hilbert spaces. The purpose of this work is to identify suitable axioms defining Krein C*-categories, i.e. those categories that play the role of C*-categories whenever Hilbert spaces are replaced by more general indefinite inner product Krein spaces, and provide some basic examples. Finally we provide a Gel'fand-Naimark representation theorem for Krein C*-algebras and Krein C*-categories.

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