Paper Info
Title
Involutive Categories and Monoids, with a GNS-correspondence
Abstract
This paper develops the basics of the theory of involutive categories and shows that such categories provide the natural setting in which to describe involutive monoids. It is shown how categories of Eilenberg-Moore algebras of involutive monads are involutive, with conjugation for modules and vector spaces as special case. The core of the so-called Gelfand-Naimark-Segal (GNS) construction is identified as a bijective correspondence between states on involutive monoids and inner products. This correspondence exists in arbritrary involutive categories.
Year
DOI
Venue
2010
10.1007/s10701-011-9595-7
Clinical Orthopaedics and Related Research
Keywords
DocType
Volume
Involution,Monoidal category,Inner products,Gelfand–Naimark–Segal
Journal
abs/1003.4
Issue
ISSN
Citations 
7
0015-9018
4
PageRank 
References 
Authors
0.70
3
1
Name
Order
Citations
PageRank
B. Jacobs11046100.09