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Algebra in superextensions of semilattices
semilattice band commutative semigroup the space of upfamilies
2011/1/20
Given a semilattice X we study the algebraic properties of the semigroup (X) of upfamilies on
X. The semigroup (X) contains the Stone-ˇCech extension (X), the superextension (X), and the space of...
Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers
Boundary quotients Toeplitz algebra affine semigroup natural numbers
2010/12/8
We study the Toeplitz algebra T (N ⋊ N×) and three quotients of this algebra: the C-algebra QN recntly introduced by Cuntz, and two new ones, which we call the additive and multiplicative bound...