Module operator virtual diagonals on the Fourier algebra of an inverse semigroup
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DOI: 10.1007/s00233-018-9978-6
Abstract: For an amenable inverse semigroup S with the set of idempotents E and a minimal idempotent, we explicitly construct a contractive and positive module operator virtual diagonal on the Fourier algebra A(S), as a completely… read more here.
Keywords: module operator; fourier algebra; operator; inverse semigroup ... See more keywords
Recent developments in inverse semigroup theory
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DOI: 10.1007/s00233-019-10067-4
Abstract: After reviewing aspects of the development of inverse semigroup theory, we describe an approach to studying them which views them as ‘non-commutative meet semilattices’. This leads to non-commutative versions of Stone duality and connections with… read more here.
Keywords: semigroup theory; recent developments; developments inverse; inverse semigroup ... See more keywords
Topologies on the symmetric inverse semigroup
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DOI: 10.1007/s00233-021-10242-6
Abstract: The symmetric inverse semigroup $I(X)$ on a set $X$ is the collection of all partial bijections between subsets of $X$ with composition as the algebraic operation. We study a minimal Hausdorff inverse semigroup topologies on… read more here.
Keywords: semigroup; topologies symmetric; symmetric inverse; inverse semigroup ... See more keywords
The commutative inverse semigroup of partial abelian extensions
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DOI: 10.1080/00927872.2021.1984495
Abstract: This paper is a new contribution to the partial Galois theory of groups. First, given a unital partial action $\alpha_G$ of a finite group $G$ on an algebra $S$ such that $S$ is an $\alpha_G$-partial… read more here.
Keywords: abelian extensions; commutative inverse; inverse semigroup; extensions commutative ... See more keywords