Groupoid Fest '98
Participants
Valentin Deaconu vdeaconu@math.unr.edu
Doug Drinen drinen@asu.edu
Igor Fulman ifulman@math.ucalgary.ca
Jiang-Hua Lu jhlu@math.arizona.edu
Steve Kaliszewski kaz@math.la.asu.edu
Alex Kumjian alex@unr.edu
Paul Muhly muhly@math.uiowa.edu
David Pask davidp@frey.newcastle.edu.au
Alan Paterson mmap@olemiss.edu
John Quigg quigg@math.la.asu.edu
Jacqui Ramagge jacqui@frey.newcastle.edu.au
Nandor Sieben nandor.sieben@asu.edu
Jack Spielberg jss@math.la.asu.edu
Belisario Ventura bventura@wiley.csusb.edu
Alan Weinstein alanw@math.berkeley.edu
Dana Williams dana.williams@dartmouth.edu
Schedule
All talks will be held in room PSA 203 of the Math Building (Bateman Physical
Sciences Center, A wing), which is on the northeast corner of Tyler Mall and
Palm Walk. You can use a chalk board (sorry, no big chalk, but we do have big
erasers!) and/or a transparency projector.
Saturday Sunday
9:30-10:30 Weinstein Ramsay
10:30-11:00 Kumjian Fulman
11:00-11:30 -break- -break-
11:30-12:00 Deaconu Pask
12:00- 2:00 -lunch- Ramagge (12:00-12:30)
2:00- 3:00 Paterson -lunch- (12:30- 2:00)
3:00- 3:30 Lu
3:30- 4:00 -break-
4:00- 4:30 Drinen
4:30- 5:00 Sieben
6:00- Tombstone Brewery
Abstracts
Deaconu: Cohomology of topological graphs and pimsner algebra
Abstract: We use the long exact sequence of Kumjian to compute the sheaf
cohomology of the groupoid \Gamma associated to a topological graph. We show
that certain twisted groupoid C*-algebras associated to \Gamma are isomorphic
to Pimsner algebras.
Drinen: Isomorphism of graph groupoids
Abstract: For a row-finite directed graph E, Kumjian, Pask, and Raeburn
defined its graph C*-algebra C*(E). If E has no sinks, then C*(E) \cong
C*({G}_E), where {G}_E is the graph groupoid, a construction of Kumjian,
Pask, Raeburn, and Renault. We investigate some graph transformations which
preserve the graph groupoid.
Fulman: Ideals in the algebra of a one-sided dynamical system
Abstract: We use a spectral theorem for bimodules (an analog of the theorem
by Muhly and Solel) to describe ideals in the non-selfadjoint algebra arising
from a one-sided dynamical system. Unlike in the case considered by Muhly and
Solel, in our case the groupoid arising is not r-discrete.
Kumjian: C*-algebras of multigraphs
Abstract: Building on recent work of G. Robertson & T. Steger, we consider
certain C*-algebras associated to multigraphs. Under mild assumptions the
C*-algebra of a multigraph may be seen to be isomorphic to the C*-algebra of
a groupoid associated to the multigraph.
Lu: Hopf algebras coming from groupoids
Pask: Semigroup actions on graph algebras
Paterson: Asymptotic morphisms and the analytic index map for Lie groupoids
Abstract: We will discuss the construction of a canonical asymptotic
morphism {T_{\epsilon}} in E(C_{0}(A(G)^{*}), C^{*}(G)) associated with a
Lie groupoid G. When G is a trivial groupoid, this asymptotic morphism is
the Connes-Higson asymptotic morphism. For general G, the asymptotic
morphism induces the analytic index map on the groupoid.
Ramsay: Local action groupoids
Abstract: The title refers to groupoids with the property that every point
in the space of units has a neighborhood to which the restriction of the
groupoid is isomorphic to a groupoid arising from an action of a group on that
neighborhood. Most of the talk will be about results on the case in which
the group is always the circle. These results were obtained by El Sayed
Sallam in his Ph.D. work, extending some results of Baum, Brylinski and
MacPherson on delocalized cohomology to such groupoids.
Sieben: Fell bundles over inverse semigroups and r-discrete groupoids
Abstract: Fell bundles over inverse semigroups are introduced and shown
to be closely related to Fell bundles over r-discrete groupoids. Twisted
semidirect product bundles are characterized as homogeneous Fell bundles.
Weinstein: Toward normal forms for proper groupoids and Lie algebroids
Saturday Night
For Saturday night, we have reserved space at the Tombstone Brewery so we can
gather. You'll be able to order your own food and drinks --- it's minimally
organized, in keeping with my understanding of the spirit of the conference.
The Tombstone Brewery is about 100 yards north of the Best Western, on the
same side of the street (Scottsdale Road). From campus, this is about 1 mile
north on Rural Road (the eastern boundary of campus), across the bridge over
the ``river'', under the freeway bridge, and then immediately on the left.
(When Rural Road crosses the river it becomes Scottsdale Road.)
Address: 710 E. Gilbert. Phone: (602) 967-2337.
S. Kaliszewski /
Department of Mathematics /
Arizona State University
Tempe, Arizona
U.S.A.
85287-1804