S. Walters

activity

20002021

most citedThe structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z)

32 citations · 70 across the 13 of their papers we have counts for

collaborators

14 papers

math.OA2021

K-Theory of Approximately Central Projections in the Flip Orbifold

Samuel G. Walters

For an approximately central (AC) Powers-Rieffel projection $e$ in the irrational Flip orbifold C*-algebra $A_{θ}^{Φ},$ where $Φ$ is the Flip automorphism of the rotation C*-algebra $A…

math.OA2020★ 1 cited

Modular Images Of Approximately Central Projections

Samuel G. Walters

It is shown that for any approximately central (AC) projection $e$ in the Flip orbifold $A_{θ}^{Φ}$ (of the irrational rotation C*-algebra $A_{θ}$ ), and any modular automorphism $α$ (ari…

math.HO2020

A Proof Of Cantor's Theorem

Sam Walters

We present a short proof of Cantor's Theorem (circa 1870s): if $a_{n} cos n x + b_{n} sin n x \to 0$ for each $x$ in some (nonempty) open interval, where $a_{n}, b_{n}$ are sequences of co…

math.OA2018★ 1 cited

K-theory of Rotation Algebra Crossed Products by Amalgamated Products of Finite Cyclic Groups

Sam Walters

The $K$ -groups of the crossed product of the rotation C*-algebra $A_{θ}$ by free and amalgamated products of the cyclic groups $Z_{n}$ , for $n = 2, 3, 4, 6$ , are calculated. The act…

math.OA2017★ 1 cited

Semiflat Orbifold Projections

Sam Walters

We compute the semiflat positive cone $K_{0}^{+ S F} (A_{θ}^{σ})$ of the $K_{0}$ -group of the irrational rotation orbifold $A_{θ}^{σ}$ under the noncommutative Fourier transform $σ$ and show that…

math.OA2017

The K-inductive Structure of the Noncommutative Fourier Transform

Samuel G. Walters

The noncommutative Fourier transform of the irrational rotation C*-algebra is shown to have a K-inductive structure (at least for a large concrete class of irrational parameters, c…