no code implementations • 15 Feb 2021 • Sayan Chakraborty
For an action of a finite cyclic group $F$ on an $n$-dimensional noncommutative torus $A_\theta,$ we give sufficient conditions when the fundamental projective modules over $A_\theta$, which determine the range of the canonical trace on $A_\theta,$ extend to projective modules over the crossed product C*-algebra $A_\theta \rtimes F.$ Our results allow us to understand the range of the canonical trace on $A_\theta \rtimes F$, and determine it completely for several examples including the crossed products of 2-dimensional noncommutative tori with finite cyclic groups and the flip action of $\mathbb{Z}_2$ on any $n$-dimensional noncommutative torus.
Operator Algebras K-Theory and Homology
1 code implementation • 10 Nov 2020 • Sayan Chakraborty, Smit Shah, Kiumars Soltani, Anna Swigart, Luyao Yang, Kyle Buckingham
Organizations rely heavily on time series metrics to measure and model key aspects of operational and business performance.
1 code implementation • 4 Jan 2020 • Sayan Chakraborty, Smit Shah, Kiumars Soltani, Anna Swigart
In this paper, we propose a method that isolates the root cause of an anomaly by analyzing the patterns in time series fluctuations.