An ICC group is an infinite group in which every nonidentity conjugacy class is infinite. The abbreviation
ICC stands for "infinite conjugacy classes."
For a countable discrete group von Neumann algebra iff
See also Conjugacy Class ,
Connes's Rigidity Conjecture ,
Group ,
von
Neumann Algebra
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References Connes, A. Noncommutative Geometry. San Diego, CA:
Academic Press, p. 551, 1994.
Cite this as:
Weisstein, Eric W. "ICC Group." From MathWorld https://mathworld.wolfram.com/ICCGroup.html
Subject classifications
,
the group von Neumann algebra 
is a factor, meaning that its center consists only of scalar
multiples of the identity, iff 
is ICC.
