Effect algebras with state operator

3 pages•Published: July 28, 2014

Abstract

A state operator on effect algebras is introduced as an additive, idempotent and unital mapping from the effect algebra into itself. The definition is inspired by the definition of an internal state on MV-algebras, recently introduced by Flaminio and Montagna. We study state operators on convex effect algebras, and show their relations with conditional expectations on operator algebras.

Keyphrases: c* algebra, conditional expectation, convex effect algebra, effect algebra, mv algebra, mv effect algebra, ordered vector space

In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 176-178.

Links:	https://easychair.org/publications/paper/3C97
	https://doi.org/10.29007/jbdq

BibTeX entry

@inproceedings{TACL2013:Effect_algebras_with_state,
  author    = {Silvia Pulmannova},
  title     = {Effect algebras with state operator},
  booktitle = {TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic},
  editor    = {Nikolaos Galatos and Alexander Kurz and Constantine Tsinakis},
  series    = {EPiC Series in Computing},
  volume    = {25},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/3C97},
  doi       = {10.29007/jbdq},
  pages     = {176-178},
  year      = {2014}}

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