Download this article
Download this article For screen
For printing
Recent Issues
Volume 9, Issue 1
Volume 8, Issue 4
Volume 8, Issue 3
Volume 8, Issue 2
Volume 8, Issue 1
Volume 7, Issue 4
Volume 7, Issue 3
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 4
Volume 6, Issue 3
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 4
Volume 5, Issue 3
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 4
Volume 1, Issue 3
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN: 2379-1691 (e-only)
ISSN: 2379-1683 (print)
Author index
To appear
Other MSP journals
This article is available for purchase or by subscription. See below.
Hochschild homology of twisted crossed products and twisted graded Hecke algebras

Maarten Solleveld

Vol. 8 (2023), No. 1, 81–126

Let A be a -algebra with an action of a finite group G, and consider a twisted crossed product A [G,]. We find the Hochschild homology of A [G,] for two classes of algebras A: rings of regular functions on nonsingular affine varieties, and graded Hecke algebras. The results are achieved via algebraic families of (virtual) representations and include a description of the Hochschild homology as a module over the centre of A [G,]. In noncommutative geometric terms, our results describe the differential forms on the space of irreducible representations of A [G,]. This paper prepares for a computation of the Hochschild homology of the Hecke algebra of a reductive p-adic group.

PDF Access Denied

We have not been able to recognize your IP address 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.

You may also contact us at
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Hochschild homology, graded Hecke algebras, crossed products
Mathematical Subject Classification
Primary: 16E40
Secondary: 16S35, 20C08
Received: 15 March 2022
Revised: 26 October 2022
Accepted: 1 December 2022
Published: 1 May 2023
Maarten Solleveld
Radboud Universiteit Nijmegen