Involutive categories and monoids, with a GNS-correspondence

Involutive categories and monoids, with a GNS-correspondence (2010)

by Bart Jacobs

Venue:	In Quantum Physics and Logic (QPL
Citations:	3 - 2 self

Datum	Value	Source
TITLE	Involutive categories and monoids, with a GNS-correspondence	INFERENCE
AUTHOR NAME	Bart Jacobs	SVM HeaderParse 0.2
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 symmetric monoidal categories. 1	SVM HeaderParse 0.2
YEAR	2010	INFERENCE
VENUE	In Quantum Physics and Logic (QPL	INFERENCE
VENUE TYPE	CONFERENCE	INFERENCE
CITATIONS	18 found	ParsCit 1.0