Open projections do not form a right residuated lattice

3 pages•Published: July 28, 2014

Abstract

The lattice of open projection of a C*-algebra has a partial monoid structure on compatible elements. However, this does not extend to a total right residuated operation.

Keyphrases: c* algebra, non commutative topology, open projection, orthomodular lattice, partially residuated lattice, right residuated lattice

In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 133-135.

Links:	https://easychair.org/publications/paper/jS2
	https://doi.org/10.29007/61zj

BibTeX entry

@inproceedings{TACL2013:Open_projections_do_not,
  author    = {David Kruml},
  title     = {Open projections do not form a right residuated lattice},
  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/jS2},
  doi       = {10.29007/61zj},
  pages     = {133-135},
  year      = {2014}}

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