Ilan Hirshberg - Absorption of self-absorbing algebras and crossed products

Strongly self-absorbing algebras form a relatively small class of C*-algebras, however they all seem to play a significant role in the theory. Examples include the Cuntz algebras O₂ and O, certain UHF algebras, and the Jiang-Su algebra. While there are only few of those, many algebras tensorially absorb one of them. In a recent work of Toms and Winter, it was shown that the property of absorbing a given self-absorbing algebra passes (under mild conditions) to hereditary subalgebras, quotients, inductive limits, and extensions. This talk will address the question of whether this property passes to crossed products by the integers, or by finite groups. We'll discuss recent results which show that one has such permanence results if the action satisfies a Rokhlin property, and some extra technical conditions hold.

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Last updated May 23, 2005. This page was created and is maintained by Stephen Wills (s.wills@ucc.ie).