Representation Theory of Semigroups

Lead Research Organisation: Heriot-Watt University
Department Name: S of Mathematical and Computer Sciences

Abstract

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Publications

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Jones D (2014) Graph inverse semigroups: Their characterization and completion in Journal of Algebra

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Kudryavtseva G (2015) Invariant means on Boolean inverse monoids in Semigroup Forum

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Kudryavtseva G (2015) Boolean sets, skew Boolean algebras and a non-commutative Stone duality in Algebra universalis

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Kudryavtseva G (2014) A perspective on non-commutative frame theory

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Kudryavtseva G (2017) A perspective on non-commutative frame theory in Advances in Mathematics

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Kudryavtseva G (2015) The classifying space of an inverse semigroup in Periodica Mathematica Hungarica

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Kudryavtseva G (2013) The structure of generalized inverse semigroups in Semigroup Forum

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Lawson M (2016) Subgroups of the group of homeomorphisms of the Cantor space and a duality between a class of inverse monoids and a class of Hausdorff étale groupoids in Journal of Algebra

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Lawson M (2017) Tarski monoids: Matui's spatial realization theorem

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Lawson M (2013) Distributive inverse semigroups and non-commutative Stone dualities

 
Description Boolean algebras were introduced to model aspects of the way we reason. They have been applied in practical settings such as the design of computers and in theoretical
settings such as the foundations of measure theory. Boolean inverse semigroups generalize Boolean algebras to a non-commutative framework: the `and' is replaced by
the (non-commutative) multiplication and the `or' by a partial join operation. We have shown that these semigroups are tightly involved in the construction of interesting classes
of infinite groups.
Exploitation Route This work is clearly important for anyone interested in the theory of C*-algebras.
Sectors Digital/Communication/Information Technologies (including Software),Electronics,Other
 
Description Research in groups
Amount £6,500 (GBP)
Organisation International Centre for Mathematical Sciences (ICMS) 
Sector Academic/University
Country United Kingdom
Start 06/2014 
End 07/2014