10 citations · 61 across the 19 of their papers we have counts for
19 papers
Model structure on projective systems of -algebras and bivariant homology theories
Ilan Barnea, Michael Joachim, Snigdhayan Mahanta
Using the machinery of weak fibration categories due to Schlank and the first author, we construct a convenient model structure on the pro-category of separable -algebras $\ma…
Higher nonunital Quillen K'-theory, KK-dualities and applications to topological -dualities
Snigdhayan Mahanta
Quillen introduced a new -theory of nonunital rings and showed that, under some assumptions (weaker than the existence of unity), this new theory agrees with the usual algebr…
-algebraic drawings of dendroidal sets
Snigdhayan Mahanta
In recent years the theory of dendroidal sets has emerged as an important framework for higher algebra. In this article we introduce the concept of a -algebraic drawing of a d…
Colocalizations of noncommutative spectra and bootstrap categories
Snigdhayan Mahanta
We construct a compactly generated and closed symmetric monoidal stable -category and show that contains the suspension stable homotop…
Symmetric monoidal noncommutative spectra, strongly self-absorbing -algebras, and bivariant homology
Snigdhayan Mahanta
Continuing our project on noncommutative (stable) homotopy we construct symmetric monoidal -categorical models for separable -algebras and nonco…
Algebraic K-theory, K-regularity, and T-duality of -stable -algebras
Snigdhayan Mahanta
We develop an algebraic formalism for topological -duality. More precisely, we show that topological -duality actually induces an isomorphism between noncom…