Tristan Bice

activity

20112026

most citedGeneral Non-Commutative Locally Compact Locally Hausdorff Stone Duality

18 citations · 103 across the 34 of their papers we have counts for

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Showing 2017Show all

4 papers · 1 filter

math.OA2017

Standard homogeneous C*-algebras as compact quantum metric spaces

Konrad Aguilar, Tristan Bice

Given a compact metric space X and a unital C*-algebra A, we introduce a family of seminorms on the C*-algebra of continuous functions from X to A, denoted C(X, A), induced by clas…

math.OA2017★ 4 cited

C*-Algebras With and Without $≪$ -Increasing Approximate Units

Tristan Bice, Piotr Koszmider

For elements $a, b$ of a C*-algebra we denote $a = ab$ by $a ≪ b$ . We show that all $ω_{1}$ -unital C*-algebras have $≪$ -increasing approximate units, extending a classical result fo…

math.OA2017★ 5 cited

C*-Algebra Distance Filters

Tristan Bice, Alessandro Vignati

We use non-symmetric distances to give a self-contained account of C*-algebra filters and their corresponding compact projections, simultaneously simplifying and extending their ge…

math.GN2017

Distance Domains: Completeness

Tristan Bice

We explore extensions of domain theoretic concepts, replacing transitive relations with general non-symmetric distances. These lead to a generalization of Smyth completeness which…

Standard homogeneous C*-algebras as compact quantum metric spaces

C*-Algebras With and Without ≪-Increasing Approximate Units

C*-Algebra Distance Filters

Distance Domains: Completeness

C*-Algebras With and Without $≪$ -Increasing Approximate Units