Sayan Chakraborty

activity

20172026

most citedOne-shot purity distillation with local noisy operations and one-way classical communication

5 citations · 7 across the 11 of their papers we have counts for

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8 papers · 1 filter

math.OA2022

$K$ -theory of non-commutative Bernoulli Shifts

Sayan Chakraborty, Siegfried Echterhoff, Julian Kranz +1

For a large class of C*-algebras $A$ , we calculate the $K$ -theory of reduced crossed products $A^{\otimes G} ⋊_{r} G$ of Bernoulli shifts by groups satisfying the Baum--Connes co…

math.OA2022

Symmetrized non-commutative tori revisited

Sayan Chakraborty

For the flip action of $Z_{2}$ on an $n$ -dimensional noncommutative torus $A_{θ},$ using an exact sequence by Natsume, we compute the K-theory groups of $A_θ\rtimes \mathbb{Z}…

math.OA2021

Higher dimensional Bott classes and the stability of rotation relations

Sayan Chakraborty, Jiajie Hua

Let $Θ = (θ_{j k})_{n \times n}$ be a real skew-symmetric $n \times n$ matrix for $n \geq 2$ . Under some mild non-integrality conditions on $Θ,$ we construct Rieffel-type projections as…

math.OA2021

Tracing projective modules over noncommutative orbifolds

Sayan Chakraborty

For an action of a finite cyclic group $F$ on an $n$ -dimensional noncommutative torus $A_{θ},$ we give sufficient conditions when the fundamental projective modules over $A_{θ}$ , which…

math.OA2019

A note on crossed products of rotation algebras

Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1

We compute the $K$ -theory of crossed products of rotation algebras $A_{θ}$ , for any real angle $θ$ , by matrices in $SL (2, Z)$ with infinite order. Using te…

math.OA2017

Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of $S L_{2} (Z)$

Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1

Let $θ, θ^{'}$ be irrational numbers and $A, B$ be matrices in $S L_{2} (Z)$ of infinite order. We compute the $K$ -theory of the crossed product $\mathcal{A}_θ\rtimes_A \mathbb{Z…

K-theory of non-commutative Bernoulli Shifts

Symmetrized non-commutative tori revisited

Higher dimensional Bott classes and the stability of rotation relations

Tracing projective modules over noncommutative orbifolds

A note on crossed products of rotation algebras

Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of SL2​(Z)

$K$ -theory of non-commutative Bernoulli Shifts

Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of $S L_{2} (Z)$