P. McKenney

activity

20122020

C^{*}

-algebras

12 citations · 29 across the 10 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.LO2018★ 12 cited

Forcing axioms and coronas of $C^{*}$ -algebras

Paul McKenney, Alessandro Vignati

We prove rigidity results for large classes of corona algebras, assuming the Proper Forcing Axiom. In particular, we prove that a conjecture of Coskey and Farah holds for all separ…

math.LO2015

Automorphisms of $P (λ) / I_{κ}$

Paul Larson, Paul McKenney

We study conditions on automorphisms of Boolean algebras of the form $P (λ) / I_{κ}$ (where $λ$ is an uncountable cardinal and $I_{κ}$ is the ideal of sets of cardinality less than $κ$ ) w…

math.LO2013★ 9 cited

Reduced products of UHF algebras under forcing axioms

Paul McKenney

If $A_{n}$ is a sequence of C*-algebras, then the C*-algebra $\prod A_{n} / ⨁ A_{n}$ is called a reduced product. We prove, assuming Todorcevic's Axiom and Martin's Axiom, that e…

math.LO2012

Homeomorphisms of Cech-Stone remainders: the zero-dimensional case

Ilijas Farah, Paul McKenney

We prove, using a weakening of the Proper Forcing Axiom, that any homemomorphism between Cech--Stone remainders of any two locally compact, zero-dimensional Polish spaces is induce…

math.LO2012

Some Calkin algebras have outer automorphisms

Ilijas Farah, Paul McKenney, Ernest Schimmerling

We consider various quotients of the C*-algebra of bounded operators on a nonseparable Hilbert space, and prove in some cases that, consistently, there are many outer automorphisms…