In recent years the theory of dendroidal sets has emerged as an
important framework for higher algebra. We introduce the concept of a
–algebraicdrawing of a dendroidal set. It depicts a dendroidal set as an object in the category of presheaves
on
–algebras.
We show that the construction is functorial and, in fact, it is the left
adjoint of a Quillen adjunction between combinatorial model categories.
We use this construction to produce a bridge between the two prominent
paradigms of noncommutative geometry via adjunctions of presentable
–categories,
which is the primary motivation behind this article. As a consequence we obtain a single
mechanism to construct bivariant homology theories in both paradigms. We propose a
(conjectural) roadmap to harmonize algebraic and analytic (or topological) bivariant
–theory.
Finally, a method to analyze graph algebras in terms of trees is sketched.
PDF Access Denied
We have not been able to recognize your IP address
18.207.255.67
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
