activity
20042026
most citedParabolic induction and restriction via C*-algebras and Hilbert C*-modules

28 citations · 72 across the 16 of their papers we have counts for

collaborators

24 papers

math.RT2026

Reduced C*-algebras and K-theory for reductive -adic groups

Pierre Clare, Tyrone Crisp

We calculate the -theory of the reduced -algebra of a reductive -adic group . To do so, we show that each direct summand in Plymen's Plancherel decompositi…

math.OA2026

Notes on C*-algebras, representations, and Morita equivalence (with a view toward C*-algebras of reductive groups)

Tyrone Crisp

These notes give an expanded account of my lectures at the CIRM-IHP research school on 'Methods in representation theory and operator algebras', January 6-10, 2025. Their main goal…

math.OA2024

Trace-class operators on Hilbert modules and Haagerup tensor products

Tyrone Crisp, Michael Rosbotham

We show that the space of trace-class operators on a Hilbert module over a commutative C*-algebra, as defined and studied in earlier work of Stern and van Suijlekom (Journal of Fun…

math.RT2023

Functor morphing and representations of automorphism groups of modules

Tyrone Crisp, Ehud Meir, Uri Onn

We introduce a strategy to study irreducible representations of automorphism groups of finite modules over local rings. We prove that these automorphism groups fit in a hierarchy t…

math.RA2022

Flow equivalence of diagram categories and Leavitt path algebras

Tyrone Crisp, Davis MacDonald

Several constructions on directed graphs originating in the study of flow equivalence in symbolic dynamics (e.g., splittings and delays) are known to preserve the Morita equivalenc…

math.RA2022

If must ?

Tyrone Crisp

A fundamental theorem of linear algebra asserts that every basis for the vector space has elements. In this expository note we present a theorem of W. G. Leavitt…