L. Ruth

activity

20182021

most citedVon Neumann equivalence and properly proximal groups

5 citations · 8 across the 5 of their papers we have counts for

collaborators

5 papers

math.KT2021★ 2 cited

K-homology and K-theory of pure Braid groups

Sara Azzali, Sarah L. Browne, Maria Paula Gomez Aparicio +2

We produce an explicit description of the K-theory and K-homology of the pure braid group on $n$ strands. We describe the Baum--Connes correspondence between the generators of the…

math.OA2019★ 5 cited

Von Neumann equivalence and properly proximal groups

Ishan Ishan, Jesse Peterson, Lauren Ruth

We introduce a new equivalence relation on groups, which we call von Neumann equivalence, that is coarser than both measure equivalence and $W^{*}$ -equivalence. We introduce a genera…

math.OA2019

Representing some II $_{1}$ factors in $L^{2} (Λ\ G)$

Lauren C. Ruth

Let $G$ be $P G L (n, F)$ , $n \geq 3$ , $F$ a certain non-archimedean local field; or let $G$ be $P S L (2, R) \times \dots \times P S L (2, R)$ . Let $Γ$ be a lattice in $G$ ,…

math.RT2019

The product of lattice covolume and discrete series formal dimension: p-adic GL(2)

Lauren C. Ruth

Let $F$ be a nonarchimedean local field of characteristic $0$ and residue field of order not divisible by $2$ . We show how to calculate the product of the covolume of a torsion-fre…

math.OA2018★ 1 cited

Two New Settings for Examples of von Neumann Dimension

Lauren C. Ruth

Let $G = P S L (2, R)$ , let $Γ$ be a lattice in $G$ , and let $H$ be an irreducible unitary representation of $G$ with square-integrable matrix coefficients. A theorem…

K-homology and K-theory of pure Braid groups

Von Neumann equivalence and properly proximal groups

Representing some II1​ factors in L2(Λ\G)

The product of lattice covolume and discrete series formal dimension: p-adic GL(2)

Two New Settings for Examples of von Neumann Dimension

Representing some II $_{1}$ factors in $L^{2} (Λ\ G)$