Anupam Datta

activity

20242026

collaborators

3 papers

math.KT2026

A higher categorical approach to graded bivariant $K$ -theories for Real $C^{*}$ -algebras

Anupam Datta

We present an $\infty$ -categorical refinement of classical $K K$ -theory and $E$ -theory for graded, $G$ -equivariant for a locally compact second countable group $G$ , Real $C^{*}$ -algeb…

math.KT2025

Equivariant $K K$ -theory and model categories

Anupam Datta, Michael Joachim

We cast Kasparov's equivariant KK-theory in the framework of model categories. We obtain a stable model structure on a certain category of locally multiplicative convex $G$ - $C^{*}$ -a…

math.KT2024

The spectral model of (Real) $K$ -theory

Anupam Datta

We use homotopy theoretic ideas to study the $K$ -theory of (graded, Real) $C^{*}$ -algebras in detail. After laying the foundations, and deriving the formal properties, the comparison…

A higher categorical approach to graded bivariant K-theories for Real C∗-algebras

Equivariant KK-theory and model categories

The spectral model of (Real) K-theory

A higher categorical approach to graded bivariant $K$ -theories for Real $C^{*}$ -algebras

Equivariant $K K$ -theory and model categories

The spectral model of (Real) $K$ -theory