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20192026
most citedConsequences of the random matrix solution to the Peterson-Thom conjecture

3 citations · 5 across the 37 of their papers we have counts for

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Showing 2024 · math.OAShow all

6 papers · 2 filters

math.OA2024

Strict comparison in reduced group -algebras

Tattwamasi Amrutam, David Gao, Srivatsav Kunnawalkam Elayavalli +1

We prove that for every , the reduced group -algebras of the countable free groups have strict comparison. Our method works in a general setting…

math.OA2024

Simplices of maximally amenable extensions in II factors

Srivatsav Kunnawalkam Elayavalli, Gregory Patchell

For every we obtain a separable II factor and a maximally abelian subalgebra such that the space of maximally amenable extensions of in $…

math.OA2024

General solidity phenomena and anticoarse spaces for type factors

Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli +1

By developing a theory of anticoarse spaces in the purely infinite setting and using 1-bounded entropy techniques along with recent strong convergence results in random matrix theo…

math.OA2024

Internal sequential commutation and single generation

David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1

We extract a precise internal description of the sequential commutation equivalence relation introduced in [KEP23] for tracial von Neumann algebras. As an application we prove that…

math.OA2024

Upgraded free independence phenomena for random unitaries

David Jekel, Srivatsav Kunnawalkam Elayavalli

We study upgraded free independence phenomena for unitary elements , , \dots representing the large- limit of Haar random unitaries, showing that free independence ext…

math.OA2024

Random permutation matrix models for graph products

Ian Charlesworth, Rolando de Santiago, Ben Hayes +3

Graph independence (also known as -independence or -independence) is a mixture of classical independence and free independence corresponding to graph products or groups and o…