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KMS states on C*c(N2)

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (3)

Let C-c(*)(N-2) be the universal C-*-algebra generated by a semigroup of isometries {v((m,n)):m,n?N} whose range projections commute. We analyse the s......

On canonical Fano intrinsic quadrics

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (2)

We classify all Q-factorial Fano intrinsic quadrics of dimension three and Picard number one having at most canonical singularities.

Detecting and describing ramification for structured ring spectra

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (3)

John Rognes developed a notion of Galois extension of commutative ring spectra, and this includes a criterion for identifying an extension as unramifi......

Left regular representations of Garside categories I. C*-algebras and groupoids

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 ()

We initiate the study of C*-algebras and groupoids arising from left regular representations of Garside categories, a notion which originated from the......

Geometric aspects on Humbert-Edge curves of type 5, Kummer surfaces and hyperelliptic curves of genus 2

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (3)

In this work, we study the Humbert-Edge curves of type 5, defined as a complete intersection of four diagonal quadrics in P-5. We characterize them us......

Polyhedral groups in G2(C)

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 ()

We classify embeddings of the finite groups A(4), S-4 and A(5) in the Lie group G(2) (C) up to conjugation.

Subrepresentations in the homology of finite covers of graphs

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (3)

Let p : Y -> X be a finite, regular cover of finite graphs with associated deck group G, and consider the first homology H-1(Y; C) of the cover as ......

A note on virtual duality and automorphism groups of right-angled Artin groups

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (3)

A theorem of Brady and Meier states that a right-angled Artin group is a duality group if and only if the flag complex of the defining graph is Cohen-......

Geometric filling curves on punctured surfaces

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (2)

This paper is about a type of quantitative density of closed geodesics and orthogeodesics on complete finite-area hyperbolic surfaces. The main result......

On the reducing projective dimension over local rings

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; ()

In this paper, we are concerned with certain invariants of modules, called reducing invariants, which have been recently introduced and studied by Ara......

Enriques surfaces and an Apollonian packing in eight dimensions

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (1)

We call a packing of hyperspheres in n dimensions an Apollonian sphere packing if the spheres intersect tangentially or not at all; they fill the n-di......

Continuously many quasi-isometry classes of residually finite groups

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (3)

We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of F-2 depending on a subset S of posi......

On An x Cm-unramified extensions over imaginary quadratic fields

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; ()

Let n be an integer congruent to 0 or 3 modulo 4. Under the assumption of the ABC conjecture, we prove that, given any integer m fulfilling only a cer......

Unitary groups, K -theory, and traces

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; ()

We show that continuous group homomorphisms between unitary groups of unital C*-algebras induce maps between spaces of continuous real-valued affine f......

Hausdorff dimension of sets defined by almost convergent binary expansion sequences

期刊: GLASGOW MATHEMATICAL JOURNAL, 2023; 65 (2)

In this paper, we study the Hausdorff dimension of sets defined by almost convergent binary expansion sequences. More precisely, the Hausdorff dimensi......

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