English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Given a fiber bundle $Z \to M \to B$ and a flat vector bundle $E \to M$ witha compatible action of a discrete group $G$, and regarding $B / G$ as thenon-commutative space corresponding to the crossed product algebra, weconstruct an analytic torsion form as a non-commutative deRham differentialform. We show that our construction is well defined under the weaker assumptionof positive Novikov-Shubin invariant. We prove that this torsion form appearsin a transgression formula, from which a non-commutativeRiamannian-Roch-Grothendieck index formula follows.

Non-commutative analytic torsion form on the transformation groupoid convolution algebra