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UID:185@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240221T103000
DTEND;TZID=Asia/Jerusalem:20240221T113000
DTSTAMP:20240216T122613Z
URL:https://math.technion.ac.il/en/events/family-index-for-fredholm-extens
ions-of-semi-fredholm-operators-2/
SUMMARY:Family index for Fredholm extensions of semi-Fredholm operators
DESCRIPTION:Lecturer:Marina Prokhorova\n Location:Amado 814\n A family of F
redholm operators has an invariant called the index which takes values in
the K-group of the space of parameters. My talk is devoted to Fredholm rea
lizations of semi-Fredholm operators in a Hilbert space. Such a realizatio
n is determined by an abstract boundary condition\, which is a subspace of
the space of abstract boundary values. I find the index of a family of Fr
edholm realizations in terms of the corresponding family of boundary condi
tions. I also prove a similar result for self-adjoint Fredholm extensions
of symmetric semi-Fredholm operators.\nAll notions will be explained durin
g the talk.\nThe talk is based on my recent preprint https://arxiv.org/abs
/2401.16060.\n https://us02web.zoom.us/j/89193473512
CATEGORIES:Noncommutative Analysis Seminar
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BEGIN:VEVENT
UID:196@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240228T103000
DTEND;TZID=Asia/Jerusalem:20240228T113000
DTSTAMP:20240227T160602Z
URL:https://math.technion.ac.il/en/events/values-of-rokhlin-dimension-for-
finite-group-actions/
SUMMARY:Values of Rokhlin dimension for finite group actions
DESCRIPTION:Lecturer:Ilan Hirshberg (Ben-Gurion University)\n Location:Amad
o 814\n Finite Rokhlin dimension\, a generalization of the Rokhlin propert
y\, is a regularity property for actions of certain groups on C*-algebras.
The main interest in Rokhlin dimension was its use to establish various p
ermanence properties: for example\, if the C*-algebra acted on has finite
nuclear dimension and the action has finite Rokhlin dimension then the cro
ssed product again has finite nuclear dimension. As such\, the main intere
st in Rokhlin dimension was to show that it is finite\, and not much atten
tion was paid to its actual value. In particular\, while it is known that
there are actions with positive finite Rokhlin dimension (that is\, have f
inite Rokhlin dimension but do not have the Rokhlin property\, which corre
sponds to Rokhlin dimension zero)\, there were no examples of actions of f
inite groups with finite Rokhlin dimension greater than 2. I’ll discuss
a recent preprint in which we provide examples of actions of finite groups
on simple AF algebras with arbitrarily large finite Rokhlin dimension. T
his shows that Rokhlin dimension is not just a tool to establish regulari
ty results\, but is an interesting invariant for group actions\, which in
a sense measures the complexity of the action.\n*This is joint work with N
. Christopher Phillips.\n https://us02web.zoom.us/j/89193473512
CATEGORIES:Noncommutative Analysis Seminar
END:VEVENT
BEGIN:VEVENT
UID:209@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240320T103000
DTEND;TZID=Asia/Jerusalem:20240320T113000
DTSTAMP:20240311T170903Z
URL:https://math.technion.ac.il/en/events/the-space-of-traces-of-certain-d
iscrete-groups/
SUMMARY:The space of traces of certain discrete groups
DESCRIPTION:Lecturer:Raz Slutzky (Weizmann Institute)\n Location:Amado 814\
n A trace on a group is a positive-definite conjugation-invariant function
on it. These traces correspond to tracial states on the group's maximal C
*-algebra. In the past couple of decades\, the study of traces has led to
exciting connections to the rigidity\, stability\, and dynamics of groups.
In this talk\, I will explain these connections and focus on the topologi
cal structure of the space of traces of some groups and see the different
behaviors of these spaces for free groups vs. higher-rank lattices. Finall
y\, we will see some applications to character limits of finite groups.\n\
nThis is based on joint works with Arie Levit\, Joav Orovitz and Itamar Vi
gdorovich.\n https://us02web.zoom.us/j/89193473512
CATEGORIES:Noncommutative Analysis Seminar
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